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Finding the Third Proportional to 7,376 and 11,422

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Solution

The third proportional to 7,376 and 11,422 is: 17,687.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,376 : 11,422 = 11,422 : x
  2. Step 2: Convert to fraction form
    7,376/11,422 = 11,422/x
  3. Step 3: Cross multiply
    7,376x = 11,422 × 11,422
  4. Step 4: Simplify right side
    7,376x = 130,462,084
  5. Step 5: Solve for x
    x = 130,462,084/7,376
  6. Step 6: Final answer
    x = 17,687.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.