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Finding the Third Proportional to 38,166.75 and 56,139.96

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Solution

The third proportional to 38,166.75 and 56,139.96 is: 82,576.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,166.75 : 56,139.96 = 56,139.96 : x
  2. Step 2: Convert to fraction form
    38,166.75/56,139.96 = 56,139.96/x
  3. Step 3: Cross multiply
    38,166.75x = 56,139.96 × 56,139.96
  4. Step 4: Simplify right side
    38,166.75x = 3,151,695,214.06
  5. Step 5: Solve for x
    x = 3,151,695,214.06/38,166.75
  6. Step 6: Final answer
    x = 82,576.99

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.