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Finding the Third Proportional to 37,354.13 and 80,244.11

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Solution

The third proportional to 37,354.13 and 80,244.11 is: 172,380.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,354.13 : 80,244.11 = 80,244.11 : x
  2. Step 2: Convert to fraction form
    37,354.13/80,244.11 = 80,244.11/x
  3. Step 3: Cross multiply
    37,354.13x = 80,244.11 × 80,244.11
  4. Step 4: Simplify right side
    37,354.13x = 6,439,116,462.48
  5. Step 5: Solve for x
    x = 6,439,116,462.48/37,354.13
  6. Step 6: Final answer
    x = 172,380.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.