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Finding the Third Proportional to 4,782 and 10,358.25

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Solution

The third proportional to 4,782 and 10,358.25 is: 22,436.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782 : 10,358.25 = 10,358.25 : x
  2. Step 2: Convert to fraction form
    4,782/10,358.25 = 10,358.25/x
  3. Step 3: Cross multiply
    4,782x = 10,358.25 × 10,358.25
  4. Step 4: Simplify right side
    4,782x = 107,293,343.06
  5. Step 5: Solve for x
    x = 107,293,343.06/4,782
  6. Step 6: Final answer
    x = 22,436.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.