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Finding the Third Proportional to 12,945.25 and 28,006.25

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Solution

The third proportional to 12,945.25 and 28,006.25 is: 60,589.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,945.25 : 28,006.25 = 28,006.25 : x
  2. Step 2: Convert to fraction form
    12,945.25/28,006.25 = 28,006.25/x
  3. Step 3: Cross multiply
    12,945.25x = 28,006.25 × 28,006.25
  4. Step 4: Simplify right side
    12,945.25x = 784,350,039.06
  5. Step 5: Solve for x
    x = 784,350,039.06/12,945.25
  6. Step 6: Final answer
    x = 60,589.79

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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.