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Finding the Third Proportional to 39,373 and 59,357

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Solution

The third proportional to 39,373 and 59,357 is: 89,484.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,373 : 59,357 = 59,357 : x
  2. Step 2: Convert to fraction form
    39,373/59,357 = 59,357/x
  3. Step 3: Cross multiply
    39,373x = 59,357 × 59,357
  4. Step 4: Simplify right side
    39,373x = 3,523,253,449
  5. Step 5: Solve for x
    x = 3,523,253,449/39,373
  6. Step 6: Final answer
    x = 89,484.00

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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.