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Finding the Third Proportional to 15,869.25 and 34,584.75

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Solution

The third proportional to 15,869.25 and 34,584.75 is: 75,372.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,869.25 : 34,584.75 = 34,584.75 : x
  2. Step 2: Convert to fraction form
    15,869.25/34,584.75 = 34,584.75/x
  3. Step 3: Cross multiply
    15,869.25x = 34,584.75 × 34,584.75
  4. Step 4: Simplify right side
    15,869.25x = 1,196,104,932.56
  5. Step 5: Solve for x
    x = 1,196,104,932.56/15,869.25
  6. Step 6: Final answer
    x = 75,372.49

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.