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Finding the Third Proportional to 10,114 and 15,376

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Solution

The third proportional to 10,114 and 15,376 is: 23,375.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,114 : 15,376 = 15,376 : x
  2. Step 2: Convert to fraction form
    10,114/15,376 = 15,376/x
  3. Step 3: Cross multiply
    10,114x = 15,376 × 15,376
  4. Step 4: Simplify right side
    10,114x = 236,421,376
  5. Step 5: Solve for x
    x = 236,421,376/10,114
  6. Step 6: Final answer
    x = 23,375.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.