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Finding the Third Proportional to 3,899.25 and 8,358.75

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Solution

The third proportional to 3,899.25 and 8,358.75 is: 17,918.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.25 : 8,358.75 = 8,358.75 : x
  2. Step 2: Convert to fraction form
    3,899.25/8,358.75 = 8,358.75/x
  3. Step 3: Cross multiply
    3,899.25x = 8,358.75 × 8,358.75
  4. Step 4: Simplify right side
    3,899.25x = 69,868,701.56
  5. Step 5: Solve for x
    x = 69,868,701.56/3,899.25
  6. Step 6: Final answer
    x = 17,918.50

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