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Finding the Third Proportional to 38,046 and 80,940

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Solution

The third proportional to 38,046 and 80,940 is: 172,193.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,046 : 80,940 = 80,940 : x
  2. Step 2: Convert to fraction form
    38,046/80,940 = 80,940/x
  3. Step 3: Cross multiply
    38,046x = 80,940 × 80,940
  4. Step 4: Simplify right side
    38,046x = 6,551,283,600
  5. Step 5: Solve for x
    x = 6,551,283,600/38,046
  6. Step 6: Final answer
    x = 172,193.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.