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Finding the Third Proportional to 8,407.13 and 18,150.75

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Solution

The third proportional to 8,407.13 and 18,150.75 is: 39,186.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.13 : 18,150.75 = 18,150.75 : x
  2. Step 2: Convert to fraction form
    8,407.13/18,150.75 = 18,150.75/x
  3. Step 3: Cross multiply
    8,407.13x = 18,150.75 × 18,150.75
  4. Step 4: Simplify right side
    8,407.13x = 329,449,725.56
  5. Step 5: Solve for x
    x = 329,449,725.56/8,407.13
  6. Step 6: Final answer
    x = 39,186.97

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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.