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Finding the Third Proportional to 38,542 and 84,427

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Solution

The third proportional to 38,542 and 84,427 is: 184,938.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,542 : 84,427 = 84,427 : x
  2. Step 2: Convert to fraction form
    38,542/84,427 = 84,427/x
  3. Step 3: Cross multiply
    38,542x = 84,427 × 84,427
  4. Step 4: Simplify right side
    38,542x = 7,127,918,329
  5. Step 5: Solve for x
    x = 7,127,918,329/38,542
  6. Step 6: Final answer
    x = 184,938.98

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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.