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Finding the Third Proportional to 3,584.25 and 7,877.25

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Solution

The third proportional to 3,584.25 and 7,877.25 is: 17,312.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.25 : 7,877.25 = 7,877.25 : x
  2. Step 2: Convert to fraction form
    3,584.25/7,877.25 = 7,877.25/x
  3. Step 3: Cross multiply
    3,584.25x = 7,877.25 × 7,877.25
  4. Step 4: Simplify right side
    3,584.25x = 62,051,067.56
  5. Step 5: Solve for x
    x = 62,051,067.56/3,584.25
  6. Step 6: Final answer
    x = 17,312.15

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.