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Finding the Third Proportional to 29,911 and 62,920

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Solution

The third proportional to 29,911 and 62,920 is: 132,356.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,911 : 62,920 = 62,920 : x
  2. Step 2: Convert to fraction form
    29,911/62,920 = 62,920/x
  3. Step 3: Cross multiply
    29,911x = 62,920 × 62,920
  4. Step 4: Simplify right side
    29,911x = 3,958,926,400
  5. Step 5: Solve for x
    x = 3,958,926,400/29,911
  6. Step 6: Final answer
    x = 132,356.87

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.