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Finding the Third Proportional to 2,633.13 and 5,560.52

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Solution

The third proportional to 2,633.13 and 5,560.52 is: 11,742.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633.13 : 5,560.52 = 5,560.52 : x
  2. Step 2: Convert to fraction form
    2,633.13/5,560.52 = 5,560.52/x
  3. Step 3: Cross multiply
    2,633.13x = 5,560.52 × 5,560.52
  4. Step 4: Simplify right side
    2,633.13x = 30,919,420.90
  5. Step 5: Solve for x
    x = 30,919,420.90/2,633.13
  6. Step 6: Final answer
    x = 11,742.45

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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.