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Finding the Third Proportional to 4,321.27 and 6,454.27

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Solution

The third proportional to 4,321.27 and 6,454.27 is: 9,640.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,321.27 : 6,454.27 = 6,454.27 : x
  2. Step 2: Convert to fraction form
    4,321.27/6,454.27 = 6,454.27/x
  3. Step 3: Cross multiply
    4,321.27x = 6,454.27 × 6,454.27
  4. Step 4: Simplify right side
    4,321.27x = 41,657,544.76
  5. Step 5: Solve for x
    x = 41,657,544.76/4,321.27
  6. Step 6: Final answer
    x = 9,640.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.