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Finding the Third Proportional to 4,527 and 10,113.75

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Solution

The third proportional to 4,527 and 10,113.75 is: 22,595.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,527 : 10,113.75 = 10,113.75 : x
  2. Step 2: Convert to fraction form
    4,527/10,113.75 = 10,113.75/x
  3. Step 3: Cross multiply
    4,527x = 10,113.75 × 10,113.75
  4. Step 4: Simplify right side
    4,527x = 102,287,939.06
  5. Step 5: Solve for x
    x = 102,287,939.06/4,527
  6. Step 6: Final answer
    x = 22,595.08

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.