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Finding the Third Proportional to 6,046.88 and 9,161.54

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Solution

The third proportional to 6,046.88 and 9,161.54 is: 13,880.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,046.88 : 9,161.54 = 9,161.54 : x
  2. Step 2: Convert to fraction form
    6,046.88/9,161.54 = 9,161.54/x
  3. Step 3: Cross multiply
    6,046.88x = 9,161.54 × 9,161.54
  4. Step 4: Simplify right side
    6,046.88x = 83,933,869.57
  5. Step 5: Solve for x
    x = 83,933,869.57/6,046.88
  6. Step 6: Final answer
    x = 13,880.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.