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Finding the Third Proportional to 37,648.13 and 56,473.88

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Solution

The third proportional to 37,648.13 and 56,473.88 is: 84,713.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,648.13 : 56,473.88 = 56,473.88 : x
  2. Step 2: Convert to fraction form
    37,648.13/56,473.88 = 56,473.88/x
  3. Step 3: Cross multiply
    37,648.13x = 56,473.88 × 56,473.88
  4. Step 4: Simplify right side
    37,648.13x = 3,189,298,557.52
  5. Step 5: Solve for x
    x = 3,189,298,557.52/37,648.13
  6. Step 6: Final answer
    x = 84,713.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.