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Finding the Third Proportional to 39,502 and 62,822

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Solution

The third proportional to 39,502 and 62,822 is: 99,908.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,502 : 62,822 = 62,822 : x
  2. Step 2: Convert to fraction form
    39,502/62,822 = 62,822/x
  3. Step 3: Cross multiply
    39,502x = 62,822 × 62,822
  4. Step 4: Simplify right side
    39,502x = 3,946,603,684
  5. Step 5: Solve for x
    x = 3,946,603,684/39,502
  6. Step 6: Final answer
    x = 99,908.96

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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.