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Finding the Third Proportional to 3,422.25 and 5,329.13

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Solution

The third proportional to 3,422.25 and 5,329.13 is: 8,298.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.25 : 5,329.13 = 5,329.13 : x
  2. Step 2: Convert to fraction form
    3,422.25/5,329.13 = 5,329.13/x
  3. Step 3: Cross multiply
    3,422.25x = 5,329.13 × 5,329.13
  4. Step 4: Simplify right side
    3,422.25x = 28,399,573.27
  5. Step 5: Solve for x
    x = 28,399,573.27/3,422.25
  6. Step 6: Final answer
    x = 8,298.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.