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Finding the Third Proportional to 5,629.82 and 8,560.05

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Solution

The third proportional to 5,629.82 and 8,560.05 is: 13,015.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,629.82 : 8,560.05 = 8,560.05 : x
  2. Step 2: Convert to fraction form
    5,629.82/8,560.05 = 8,560.05/x
  3. Step 3: Cross multiply
    5,629.82x = 8,560.05 × 8,560.05
  4. Step 4: Simplify right side
    5,629.82x = 73,274,536.25
  5. Step 5: Solve for x
    x = 73,274,536.25/5,629.82
  6. Step 6: Final answer
    x = 13,015.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.