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Finding the Third Proportional to 12,287.25 and 28,878.75

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Solution

The third proportional to 12,287.25 and 28,878.75 is: 67,873.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,287.25 : 28,878.75 = 28,878.75 : x
  2. Step 2: Convert to fraction form
    12,287.25/28,878.75 = 28,878.75/x
  3. Step 3: Cross multiply
    12,287.25x = 28,878.75 × 28,878.75
  4. Step 4: Simplify right side
    12,287.25x = 833,982,201.56
  5. Step 5: Solve for x
    x = 833,982,201.56/12,287.25
  6. Step 6: Final answer
    x = 67,873.79

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.