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Finding the Third Proportional to 3,463.88 and 4,732.31

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Solution

The third proportional to 3,463.88 and 4,732.31 is: 6,465.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.88 : 4,732.31 = 4,732.31 : x
  2. Step 2: Convert to fraction form
    3,463.88/4,732.31 = 4,732.31/x
  3. Step 3: Cross multiply
    3,463.88x = 4,732.31 × 4,732.31
  4. Step 4: Simplify right side
    3,463.88x = 22,394,781.60
  5. Step 5: Solve for x
    x = 22,394,781.60/3,463.88
  6. Step 6: Final answer
    x = 6,465.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.