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Finding the Third Proportional to 36,387 and 51,543

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Solution

The third proportional to 36,387 and 51,543 is: 73,011.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,387 : 51,543 = 51,543 : x
  2. Step 2: Convert to fraction form
    36,387/51,543 = 51,543/x
  3. Step 3: Cross multiply
    36,387x = 51,543 × 51,543
  4. Step 4: Simplify right side
    36,387x = 2,656,680,849
  5. Step 5: Solve for x
    x = 2,656,680,849/36,387
  6. Step 6: Final answer
    x = 73,011.81

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.