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Finding the Third Proportional to 29,408 and 60,376

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Solution

The third proportional to 29,408 and 60,376 is: 123,954.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,408 : 60,376 = 60,376 : x
  2. Step 2: Convert to fraction form
    29,408/60,376 = 60,376/x
  3. Step 3: Cross multiply
    29,408x = 60,376 × 60,376
  4. Step 4: Simplify right side
    29,408x = 3,645,261,376
  5. Step 5: Solve for x
    x = 3,645,261,376/29,408
  6. Step 6: Final answer
    x = 123,954.75

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.