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Finding the Third Proportional to 31,132.48 and 66,800.32

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Solution

The third proportional to 31,132.48 and 66,800.32 is: 143,332.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,132.48 : 66,800.32 = 66,800.32 : x
  2. Step 2: Convert to fraction form
    31,132.48/66,800.32 = 66,800.32/x
  3. Step 3: Cross multiply
    31,132.48x = 66,800.32 × 66,800.32
  4. Step 4: Simplify right side
    31,132.48x = 4,462,282,793.85
  5. Step 5: Solve for x
    x = 4,462,282,793.85/31,132.48
  6. Step 6: Final answer
    x = 143,332.09

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.