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Finding the Third Proportional to 3,424.46 and 5,159.27

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Solution

The third proportional to 3,424.46 and 5,159.27 is: 7,772.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.46 : 5,159.27 = 5,159.27 : x
  2. Step 2: Convert to fraction form
    3,424.46/5,159.27 = 5,159.27/x
  3. Step 3: Cross multiply
    3,424.46x = 5,159.27 × 5,159.27
  4. Step 4: Simplify right side
    3,424.46x = 26,618,041.94
  5. Step 5: Solve for x
    x = 26,618,041.94/3,424.46
  6. Step 6: Final answer
    x = 7,772.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.