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Finding the Third Proportional to 3,473.25 and 4,963.13

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Solution

The third proportional to 3,473.25 and 4,963.13 is: 7,092.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.25 : 4,963.13 = 4,963.13 : x
  2. Step 2: Convert to fraction form
    3,473.25/4,963.13 = 4,963.13/x
  3. Step 3: Cross multiply
    3,473.25x = 4,963.13 × 4,963.13
  4. Step 4: Simplify right side
    3,473.25x = 24,632,609.77
  5. Step 5: Solve for x
    x = 24,632,609.77/3,473.25
  6. Step 6: Final answer
    x = 7,092.09

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.