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Finding the Third Proportional to 39,419 and 59,537

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Solution

The third proportional to 39,419 and 59,537 is: 89,922.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,419 : 59,537 = 59,537 : x
  2. Step 2: Convert to fraction form
    39,419/59,537 = 59,537/x
  3. Step 3: Cross multiply
    39,419x = 59,537 × 59,537
  4. Step 4: Simplify right side
    39,419x = 3,544,654,369
  5. Step 5: Solve for x
    x = 3,544,654,369/39,419
  6. Step 6: Final answer
    x = 89,922.48

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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.