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Finding the Third Proportional to 31,244.48 and 50,314.29

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Solution

The third proportional to 31,244.48 and 50,314.29 is: 81,023.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,244.48 : 50,314.29 = 50,314.29 : x
  2. Step 2: Convert to fraction form
    31,244.48/50,314.29 = 50,314.29/x
  3. Step 3: Cross multiply
    31,244.48x = 50,314.29 × 50,314.29
  4. Step 4: Simplify right side
    31,244.48x = 2,531,527,683.86
  5. Step 5: Solve for x
    x = 2,531,527,683.86/31,244.48
  6. Step 6: Final answer
    x = 81,023.19

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.