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Finding the Third Proportional to 31,272.96 and 68,782.29

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Solution

The third proportional to 31,272.96 and 68,782.29 is: 151,280.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,272.96 : 68,782.29 = 68,782.29 : x
  2. Step 2: Convert to fraction form
    31,272.96/68,782.29 = 68,782.29/x
  3. Step 3: Cross multiply
    31,272.96x = 68,782.29 × 68,782.29
  4. Step 4: Simplify right side
    31,272.96x = 4,731,003,288.68
  5. Step 5: Solve for x
    x = 4,731,003,288.68/31,272.96
  6. Step 6: Final answer
    x = 151,280.95

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.