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Finding the Third Proportional to 1,600.13 and 3,442.88

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Solution

The third proportional to 1,600.13 and 3,442.88 is: 7,407.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.13 : 3,442.88 = 3,442.88 : x
  2. Step 2: Convert to fraction form
    1,600.13/3,442.88 = 3,442.88/x
  3. Step 3: Cross multiply
    1,600.13x = 3,442.88 × 3,442.88
  4. Step 4: Simplify right side
    1,600.13x = 11,853,388.27
  5. Step 5: Solve for x
    x = 11,853,388.27/1,600.13
  6. Step 6: Final answer
    x = 7,407.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.