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Finding the Third Proportional to 11,376 and 15,997.50

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Solution

The third proportional to 11,376 and 15,997.50 is: 22,496.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,376 : 15,997.50 = 15,997.50 : x
  2. Step 2: Convert to fraction form
    11,376/15,997.50 = 15,997.50/x
  3. Step 3: Cross multiply
    11,376x = 15,997.50 × 15,997.50
  4. Step 4: Simplify right side
    11,376x = 255,920,006.25
  5. Step 5: Solve for x
    x = 255,920,006.25/11,376
  6. Step 6: Final answer
    x = 22,496.48

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.