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Finding the Third Proportional to 40,734 and 60,849

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Solution

The third proportional to 40,734 and 60,849 is: 90,897.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,734 : 60,849 = 60,849 : x
  2. Step 2: Convert to fraction form
    40,734/60,849 = 60,849/x
  3. Step 3: Cross multiply
    40,734x = 60,849 × 60,849
  4. Step 4: Simplify right side
    40,734x = 3,702,600,801
  5. Step 5: Solve for x
    x = 3,702,600,801/40,734
  6. Step 6: Final answer
    x = 90,897.06

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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.