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Finding the Third Proportional to 8,202.38 and 12,725.16

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Solution

The third proportional to 8,202.38 and 12,725.16 is: 19,741.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.38 : 12,725.16 = 12,725.16 : x
  2. Step 2: Convert to fraction form
    8,202.38/12,725.16 = 12,725.16/x
  3. Step 3: Cross multiply
    8,202.38x = 12,725.16 × 12,725.16
  4. Step 4: Simplify right side
    8,202.38x = 161,929,601.59
  5. Step 5: Solve for x
    x = 161,929,601.59/8,202.38
  6. Step 6: Final answer
    x = 19,741.79

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.