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Finding the Third Proportional to 12,399.75 and 28,721.25

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Solution

The third proportional to 12,399.75 and 28,721.25 is: 66,526.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,399.75 : 28,721.25 = 28,721.25 : x
  2. Step 2: Convert to fraction form
    12,399.75/28,721.25 = 28,721.25/x
  3. Step 3: Cross multiply
    12,399.75x = 28,721.25 × 28,721.25
  4. Step 4: Simplify right side
    12,399.75x = 824,910,201.56
  5. Step 5: Solve for x
    x = 824,910,201.56/12,399.75
  6. Step 6: Final answer
    x = 66,526.36

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.