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Finding the Third Proportional to 10,583.38 and 22,624.75

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Solution

The third proportional to 10,583.38 and 22,624.75 is: 48,366.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,583.38 : 22,624.75 = 22,624.75 : x
  2. Step 2: Convert to fraction form
    10,583.38/22,624.75 = 22,624.75/x
  3. Step 3: Cross multiply
    10,583.38x = 22,624.75 × 22,624.75
  4. Step 4: Simplify right side
    10,583.38x = 511,879,312.56
  5. Step 5: Solve for x
    x = 511,879,312.56/10,583.38
  6. Step 6: Final answer
    x = 48,366.36

Related Problems

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.