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Finding the Third Proportional to 15,908 and 23,314

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Solution

The third proportional to 15,908 and 23,314 is: 34,167.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,908 : 23,314 = 23,314 : x
  2. Step 2: Convert to fraction form
    15,908/23,314 = 23,314/x
  3. Step 3: Cross multiply
    15,908x = 23,314 × 23,314
  4. Step 4: Simplify right side
    15,908x = 543,542,596
  5. Step 5: Solve for x
    x = 543,542,596/15,908
  6. Step 6: Final answer
    x = 34,167.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.