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Finding the Third Proportional to 40,809 and 63,059

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Solution

The third proportional to 40,809 and 63,059 is: 97,440.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,809 : 63,059 = 63,059 : x
  2. Step 2: Convert to fraction form
    40,809/63,059 = 63,059/x
  3. Step 3: Cross multiply
    40,809x = 63,059 × 63,059
  4. Step 4: Simplify right side
    40,809x = 3,976,437,481
  5. Step 5: Solve for x
    x = 3,976,437,481/40,809
  6. Step 6: Final answer
    x = 97,440.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.