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Finding the Third Proportional to 34,701.75 and 55,171.13

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Solution

The third proportional to 34,701.75 and 55,171.13 is: 87,714.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,701.75 : 55,171.13 = 55,171.13 : x
  2. Step 2: Convert to fraction form
    34,701.75/55,171.13 = 55,171.13/x
  3. Step 3: Cross multiply
    34,701.75x = 55,171.13 × 55,171.13
  4. Step 4: Simplify right side
    34,701.75x = 3,043,853,033.77
  5. Step 5: Solve for x
    x = 3,043,853,033.77/34,701.75
  6. Step 6: Final answer
    x = 87,714.68

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.