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Finding the Third Proportional to 31,707 and 66,613.50

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Solution

The third proportional to 31,707 and 66,613.50 is: 139,948.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,707 : 66,613.50 = 66,613.50 : x
  2. Step 2: Convert to fraction form
    31,707/66,613.50 = 66,613.50/x
  3. Step 3: Cross multiply
    31,707x = 66,613.50 × 66,613.50
  4. Step 4: Simplify right side
    31,707x = 4,437,358,382.25
  5. Step 5: Solve for x
    x = 4,437,358,382.25/31,707
  6. Step 6: Final answer
    x = 139,948.86

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.