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Finding the Third Proportional to 37,456.63 and 80,471.88

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Solution

The third proportional to 37,456.63 and 80,471.88 is: 172,885.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,456.63 : 80,471.88 = 80,471.88 : x
  2. Step 2: Convert to fraction form
    37,456.63/80,471.88 = 80,471.88/x
  3. Step 3: Cross multiply
    37,456.63x = 80,471.88 × 80,471.88
  4. Step 4: Simplify right side
    37,456.63x = 6,475,722,666.02
  5. Step 5: Solve for x
    x = 6,475,722,666.02/37,456.63
  6. Step 6: Final answer
    x = 172,885.91

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