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Finding the Third Proportional to 38,546 and 61,626

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Solution

The third proportional to 38,546 and 61,626 is: 98,525.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,546 : 61,626 = 61,626 : x
  2. Step 2: Convert to fraction form
    38,546/61,626 = 61,626/x
  3. Step 3: Cross multiply
    38,546x = 61,626 × 61,626
  4. Step 4: Simplify right side
    38,546x = 3,797,763,876
  5. Step 5: Solve for x
    x = 3,797,763,876/38,546
  6. Step 6: Final answer
    x = 98,525.50

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.