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Finding the Third Proportional to 3,898.97 and 6,104.53

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Solution

The third proportional to 3,898.97 and 6,104.53 is: 9,557.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.97 : 6,104.53 = 6,104.53 : x
  2. Step 2: Convert to fraction form
    3,898.97/6,104.53 = 6,104.53/x
  3. Step 3: Cross multiply
    3,898.97x = 6,104.53 × 6,104.53
  4. Step 4: Simplify right side
    3,898.97x = 37,265,301.78
  5. Step 5: Solve for x
    x = 37,265,301.78/3,898.97
  6. Step 6: Final answer
    x = 9,557.73

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.