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Finding the Third Proportional to 32,106.50 and 51,132.75

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Solution

The third proportional to 32,106.50 and 51,132.75 is: 81,433.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,106.50 : 51,132.75 = 51,132.75 : x
  2. Step 2: Convert to fraction form
    32,106.50/51,132.75 = 51,132.75/x
  3. Step 3: Cross multiply
    32,106.50x = 51,132.75 × 51,132.75
  4. Step 4: Simplify right side
    32,106.50x = 2,614,558,122.56
  5. Step 5: Solve for x
    x = 2,614,558,122.56/32,106.50
  6. Step 6: Final answer
    x = 81,433.92

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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.