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Finding the Third Proportional to 29,911 and 62,919

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Solution

The third proportional to 29,911 and 62,919 is: 132,352.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,911 : 62,919 = 62,919 : x
  2. Step 2: Convert to fraction form
    29,911/62,919 = 62,919/x
  3. Step 3: Cross multiply
    29,911x = 62,919 × 62,919
  4. Step 4: Simplify right side
    29,911x = 3,958,800,561
  5. Step 5: Solve for x
    x = 3,958,800,561/29,911
  6. Step 6: Final answer
    x = 132,352.66

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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.