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Finding the Third Proportional to 32,000.06 and 56,163.38

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Solution

The third proportional to 32,000.06 and 56,163.38 is: 98,572.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,000.06 : 56,163.38 = 56,163.38 : x
  2. Step 2: Convert to fraction form
    32,000.06/56,163.38 = 56,163.38/x
  3. Step 3: Cross multiply
    32,000.06x = 56,163.38 × 56,163.38
  4. Step 4: Simplify right side
    32,000.06x = 3,154,324,691.39
  5. Step 5: Solve for x
    x = 3,154,324,691.39/32,000.06
  6. Step 6: Final answer
    x = 98,572.45

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These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.