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Finding the Third Proportional to 42,386 and 62,265

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Solution

The third proportional to 42,386 and 62,265 is: 91,467.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,386 : 62,265 = 62,265 : x
  2. Step 2: Convert to fraction form
    42,386/62,265 = 62,265/x
  3. Step 3: Cross multiply
    42,386x = 62,265 × 62,265
  4. Step 4: Simplify right side
    42,386x = 3,876,930,225
  5. Step 5: Solve for x
    x = 3,876,930,225/42,386
  6. Step 6: Final answer
    x = 91,467.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.