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Finding the Third Proportional to 49,586 and 75,541

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Solution

The third proportional to 49,586 and 75,541 is: 115,081.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,586 : 75,541 = 75,541 : x
  2. Step 2: Convert to fraction form
    49,586/75,541 = 75,541/x
  3. Step 3: Cross multiply
    49,586x = 75,541 × 75,541
  4. Step 4: Simplify right side
    49,586x = 5,706,442,681
  5. Step 5: Solve for x
    x = 5,706,442,681/49,586
  6. Step 6: Final answer
    x = 115,081.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.