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Finding the Third Proportional to 4,132.27 and 6,400.27

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Solution

The third proportional to 4,132.27 and 6,400.27 is: 9,913.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,132.27 : 6,400.27 = 6,400.27 : x
  2. Step 2: Convert to fraction form
    4,132.27/6,400.27 = 6,400.27/x
  3. Step 3: Cross multiply
    4,132.27x = 6,400.27 × 6,400.27
  4. Step 4: Simplify right side
    4,132.27x = 40,963,400.07
  5. Step 5: Solve for x
    x = 40,963,400.07/4,132.27
  6. Step 6: Final answer
    x = 9,913.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.