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Finding the Third Proportional to 31,613.73 and 66,150.42

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Solution

The third proportional to 31,613.73 and 66,150.42 is: 138,417.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,613.73 : 66,150.42 = 66,150.42 : x
  2. Step 2: Convert to fraction form
    31,613.73/66,150.42 = 66,150.42/x
  3. Step 3: Cross multiply
    31,613.73x = 66,150.42 × 66,150.42
  4. Step 4: Simplify right side
    31,613.73x = 4,375,878,314.24
  5. Step 5: Solve for x
    x = 4,375,878,314.24/31,613.73
  6. Step 6: Final answer
    x = 138,417.02

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.