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Finding the Third Proportional to 31,375.13 and 67,880.25

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Solution

The third proportional to 31,375.13 and 67,880.25 is: 146,859.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,375.13 : 67,880.25 = 67,880.25 : x
  2. Step 2: Convert to fraction form
    31,375.13/67,880.25 = 67,880.25/x
  3. Step 3: Cross multiply
    31,375.13x = 67,880.25 × 67,880.25
  4. Step 4: Simplify right side
    31,375.13x = 4,607,728,340.06
  5. Step 5: Solve for x
    x = 4,607,728,340.06/31,375.13
  6. Step 6: Final answer
    x = 146,859.28

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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.