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Finding the Third Proportional to 3,442.82 and 5,159.95

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Solution

The third proportional to 3,442.82 and 5,159.95 is: 7,733.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.82 : 5,159.95 = 5,159.95 : x
  2. Step 2: Convert to fraction form
    3,442.82/5,159.95 = 5,159.95/x
  3. Step 3: Cross multiply
    3,442.82x = 5,159.95 × 5,159.95
  4. Step 4: Simplify right side
    3,442.82x = 26,625,116.25
  5. Step 5: Solve for x
    x = 26,625,116.25/3,442.82
  6. Step 6: Final answer
    x = 7,733.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.