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Finding the Third Proportional to 39,924 and 58,446

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Solution

The third proportional to 39,924 and 58,446 is: 85,560.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,924 : 58,446 = 58,446 : x
  2. Step 2: Convert to fraction form
    39,924/58,446 = 58,446/x
  3. Step 3: Cross multiply
    39,924x = 58,446 × 58,446
  4. Step 4: Simplify right side
    39,924x = 3,415,934,916
  5. Step 5: Solve for x
    x = 3,415,934,916/39,924
  6. Step 6: Final answer
    x = 85,560.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.