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Finding the Third Proportional to 41,952.38 and 58,655.81

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Solution

The third proportional to 41,952.38 and 58,655.81 is: 82,009.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,952.38 : 58,655.81 = 58,655.81 : x
  2. Step 2: Convert to fraction form
    41,952.38/58,655.81 = 58,655.81/x
  3. Step 3: Cross multiply
    41,952.38x = 58,655.81 × 58,655.81
  4. Step 4: Simplify right side
    41,952.38x = 3,440,504,340.04
  5. Step 5: Solve for x
    x = 3,440,504,340.04/41,952.38
  6. Step 6: Final answer
    x = 82,009.76

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.