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Finding the Third Proportional to 36,712 and 58,349

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Solution

The third proportional to 36,712 and 58,349 is: 92,738.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,712 : 58,349 = 58,349 : x
  2. Step 2: Convert to fraction form
    36,712/58,349 = 58,349/x
  3. Step 3: Cross multiply
    36,712x = 58,349 × 58,349
  4. Step 4: Simplify right side
    36,712x = 3,404,605,801
  5. Step 5: Solve for x
    x = 3,404,605,801/36,712
  6. Step 6: Final answer
    x = 92,738.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.