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Finding the Third Proportional to 3,645.56 and 5,655.66

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Solution

The third proportional to 3,645.56 and 5,655.66 is: 8,774.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.56 : 5,655.66 = 5,655.66 : x
  2. Step 2: Convert to fraction form
    3,645.56/5,655.66 = 5,655.66/x
  3. Step 3: Cross multiply
    3,645.56x = 5,655.66 × 5,655.66
  4. Step 4: Simplify right side
    3,645.56x = 31,986,447.62
  5. Step 5: Solve for x
    x = 31,986,447.62/3,645.56
  6. Step 6: Final answer
    x = 8,774.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.