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Finding the Third Proportional to 36,689 and 49,543

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Solution

The third proportional to 36,689 and 49,543 is: 66,900.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,689 : 49,543 = 49,543 : x
  2. Step 2: Convert to fraction form
    36,689/49,543 = 49,543/x
  3. Step 3: Cross multiply
    36,689x = 49,543 × 49,543
  4. Step 4: Simplify right side
    36,689x = 2,454,508,849
  5. Step 5: Solve for x
    x = 2,454,508,849/36,689
  6. Step 6: Final answer
    x = 66,900.40

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.