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Finding the Third Proportional to 1,648.13 and 3,481.13

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Solution

The third proportional to 1,648.13 and 3,481.13 is: 7,352.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.13 : 3,481.13 = 3,481.13 : x
  2. Step 2: Convert to fraction form
    1,648.13/3,481.13 = 3,481.13/x
  3. Step 3: Cross multiply
    1,648.13x = 3,481.13 × 3,481.13
  4. Step 4: Simplify right side
    1,648.13x = 12,118,231.27
  5. Step 5: Solve for x
    x = 12,118,231.27/1,648.13
  6. Step 6: Final answer
    x = 7,352.74

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.