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Finding the Third Proportional to 9,591 and 12,537

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Solution

The third proportional to 9,591 and 12,537 is: 16,387.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,591 : 12,537 = 12,537 : x
  2. Step 2: Convert to fraction form
    9,591/12,537 = 12,537/x
  3. Step 3: Cross multiply
    9,591x = 12,537 × 12,537
  4. Step 4: Simplify right side
    9,591x = 157,176,369
  5. Step 5: Solve for x
    x = 157,176,369/9,591
  6. Step 6: Final answer
    x = 16,387.90

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.