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Finding the Third Proportional to 3,403.31 and 5,257.13

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Solution

The third proportional to 3,403.31 and 5,257.13 is: 8,120.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.31 : 5,257.13 = 5,257.13 : x
  2. Step 2: Convert to fraction form
    3,403.31/5,257.13 = 5,257.13/x
  3. Step 3: Cross multiply
    3,403.31x = 5,257.13 × 5,257.13
  4. Step 4: Simplify right side
    3,403.31x = 27,637,409.47
  5. Step 5: Solve for x
    x = 27,637,409.47/3,403.31
  6. Step 6: Final answer
    x = 8,120.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.