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Finding the Third Proportional to 37,779.56 and 82,723.13

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Solution

The third proportional to 37,779.56 and 82,723.13 is: 181,132.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,779.56 : 82,723.13 = 82,723.13 : x
  2. Step 2: Convert to fraction form
    37,779.56/82,723.13 = 82,723.13/x
  3. Step 3: Cross multiply
    37,779.56x = 82,723.13 × 82,723.13
  4. Step 4: Simplify right side
    37,779.56x = 6,843,115,409.77
  5. Step 5: Solve for x
    x = 6,843,115,409.77/37,779.56
  6. Step 6: Final answer
    x = 181,132.73

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.