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Finding the Third Proportional to 39,544 and 61,506

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Solution

The third proportional to 39,544 and 61,506 is: 95,665.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,544 : 61,506 = 61,506 : x
  2. Step 2: Convert to fraction form
    39,544/61,506 = 61,506/x
  3. Step 3: Cross multiply
    39,544x = 61,506 × 61,506
  4. Step 4: Simplify right side
    39,544x = 3,782,988,036
  5. Step 5: Solve for x
    x = 3,782,988,036/39,544
  6. Step 6: Final answer
    x = 95,665.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.