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Finding the Third Proportional to 32,132.06 and 51,311.63

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Solution

The third proportional to 32,132.06 and 51,311.63 is: 81,939.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,132.06 : 51,311.63 = 51,311.63 : x
  2. Step 2: Convert to fraction form
    32,132.06/51,311.63 = 51,311.63/x
  3. Step 3: Cross multiply
    32,132.06x = 51,311.63 × 51,311.63
  4. Step 4: Simplify right side
    32,132.06x = 2,632,882,860.14
  5. Step 5: Solve for x
    x = 2,632,882,860.14/32,132.06
  6. Step 6: Final answer
    x = 81,939.43

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.