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Finding the Third Proportional to 38,624 and 84,626

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Solution

The third proportional to 38,624 and 84,626 is: 185,417.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,624 : 84,626 = 84,626 : x
  2. Step 2: Convert to fraction form
    38,624/84,626 = 84,626/x
  3. Step 3: Cross multiply
    38,624x = 84,626 × 84,626
  4. Step 4: Simplify right side
    38,624x = 7,161,559,876
  5. Step 5: Solve for x
    x = 7,161,559,876/38,624
  6. Step 6: Final answer
    x = 185,417.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.