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Finding the Third Proportional to 11,372 and 12,560

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Solution

The third proportional to 11,372 and 12,560 is: 13,872.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,372 : 12,560 = 12,560 : x
  2. Step 2: Convert to fraction form
    11,372/12,560 = 12,560/x
  3. Step 3: Cross multiply
    11,372x = 12,560 × 12,560
  4. Step 4: Simplify right side
    11,372x = 157,753,600
  5. Step 5: Solve for x
    x = 157,753,600/11,372
  6. Step 6: Final answer
    x = 13,872.11

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.