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Finding the Third Proportional to 31,428.75 and 67,778.25

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Solution

The third proportional to 31,428.75 and 67,778.25 is: 146,168.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,428.75 : 67,778.25 = 67,778.25 : x
  2. Step 2: Convert to fraction form
    31,428.75/67,778.25 = 67,778.25/x
  3. Step 3: Cross multiply
    31,428.75x = 67,778.25 × 67,778.25
  4. Step 4: Simplify right side
    31,428.75x = 4,593,891,173.06
  5. Step 5: Solve for x
    x = 4,593,891,173.06/31,428.75
  6. Step 6: Final answer
    x = 146,168.43

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.