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Finding the Third Proportional to 12,989.25 and 28,446.75

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Solution

The third proportional to 12,989.25 and 28,446.75 is: 62,299.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,989.25 : 28,446.75 = 28,446.75 : x
  2. Step 2: Convert to fraction form
    12,989.25/28,446.75 = 28,446.75/x
  3. Step 3: Cross multiply
    12,989.25x = 28,446.75 × 28,446.75
  4. Step 4: Simplify right side
    12,989.25x = 809,217,585.56
  5. Step 5: Solve for x
    x = 809,217,585.56/12,989.25
  6. Step 6: Final answer
    x = 62,299.02

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.