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Finding the Third Proportional to 11,372 and 24,376

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Solution

The third proportional to 11,372 and 24,376 is: 52,250.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,372 : 24,376 = 24,376 : x
  2. Step 2: Convert to fraction form
    11,372/24,376 = 24,376/x
  3. Step 3: Cross multiply
    11,372x = 24,376 × 24,376
  4. Step 4: Simplify right side
    11,372x = 594,189,376
  5. Step 5: Solve for x
    x = 594,189,376/11,372
  6. Step 6: Final answer
    x = 52,250.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.