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Finding the Third Proportional to 38,584 and 84,554

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Solution

The third proportional to 38,584 and 84,554 is: 185,293.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,584 : 84,554 = 84,554 : x
  2. Step 2: Convert to fraction form
    38,584/84,554 = 84,554/x
  3. Step 3: Cross multiply
    38,584x = 84,554 × 84,554
  4. Step 4: Simplify right side
    38,584x = 7,149,378,916
  5. Step 5: Solve for x
    x = 7,149,378,916/38,584
  6. Step 6: Final answer
    x = 185,293.88

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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.