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Finding the Third Proportional to 42,565 and 64,439

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Solution

The third proportional to 42,565 and 64,439 is: 97,553.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,565 : 64,439 = 64,439 : x
  2. Step 2: Convert to fraction form
    42,565/64,439 = 64,439/x
  3. Step 3: Cross multiply
    42,565x = 64,439 × 64,439
  4. Step 4: Simplify right side
    42,565x = 4,152,384,721
  5. Step 5: Solve for x
    x = 4,152,384,721/42,565
  6. Step 6: Final answer
    x = 97,553.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.