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Finding the Third Proportional to 12,376 and 29,911

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Solution

The third proportional to 12,376 and 29,911 is: 72,290.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,376 : 29,911 = 29,911 : x
  2. Step 2: Convert to fraction form
    12,376/29,911 = 29,911/x
  3. Step 3: Cross multiply
    12,376x = 29,911 × 29,911
  4. Step 4: Simplify right side
    12,376x = 894,667,921
  5. Step 5: Solve for x
    x = 894,667,921/12,376
  6. Step 6: Final answer
    x = 72,290.56

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.