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Finding the Third Proportional to 42,539 and 63,393

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Solution

The third proportional to 42,539 and 63,393 is: 94,470.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,539 : 63,393 = 63,393 : x
  2. Step 2: Convert to fraction form
    42,539/63,393 = 63,393/x
  3. Step 3: Cross multiply
    42,539x = 63,393 × 63,393
  4. Step 4: Simplify right side
    42,539x = 4,018,672,449
  5. Step 5: Solve for x
    x = 4,018,672,449/42,539
  6. Step 6: Final answer
    x = 94,470.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.