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Finding the Third Proportional to 15,376 and 24,475

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Solution

The third proportional to 15,376 and 24,475 is: 38,958.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,376 : 24,475 = 24,475 : x
  2. Step 2: Convert to fraction form
    15,376/24,475 = 24,475/x
  3. Step 3: Cross multiply
    15,376x = 24,475 × 24,475
  4. Step 4: Simplify right side
    15,376x = 599,025,625
  5. Step 5: Solve for x
    x = 599,025,625/15,376
  6. Step 6: Final answer
    x = 38,958.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.