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Finding the Third Proportional to 8,640 and 12,537

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Solution

The third proportional to 8,640 and 12,537 is: 18,191.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,640 : 12,537 = 12,537 : x
  2. Step 2: Convert to fraction form
    8,640/12,537 = 12,537/x
  3. Step 3: Cross multiply
    8,640x = 12,537 × 12,537
  4. Step 4: Simplify right side
    8,640x = 157,176,369
  5. Step 5: Solve for x
    x = 157,176,369/8,640
  6. Step 6: Final answer
    x = 18,191.71

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.