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Finding the Third Proportional to 8,454.38 and 18,081.75

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Solution

The third proportional to 8,454.38 and 18,081.75 is: 38,672.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454.38 : 18,081.75 = 18,081.75 : x
  2. Step 2: Convert to fraction form
    8,454.38/18,081.75 = 18,081.75/x
  3. Step 3: Cross multiply
    8,454.38x = 18,081.75 × 18,081.75
  4. Step 4: Simplify right side
    8,454.38x = 326,949,683.06
  5. Step 5: Solve for x
    x = 326,949,683.06/8,454.38
  6. Step 6: Final answer
    x = 38,672.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.