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Finding the Third Proportional to 32,105.81 and 51,131.81

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Solution

The third proportional to 32,105.81 and 51,131.81 is: 81,432.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,105.81 : 51,131.81 = 51,131.81 : x
  2. Step 2: Convert to fraction form
    32,105.81/51,131.81 = 51,131.81/x
  3. Step 3: Cross multiply
    32,105.81x = 51,131.81 × 51,131.81
  4. Step 4: Simplify right side
    32,105.81x = 2,614,462,249.54
  5. Step 5: Solve for x
    x = 2,614,462,249.54/32,105.81
  6. Step 6: Final answer
    x = 81,432.68

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.