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Finding the Third Proportional to 3,325.22 and 3,669.47

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Solution

The third proportional to 3,325.22 and 3,669.47 is: 4,049.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,325.22 : 3,669.47 = 3,669.47 : x
  2. Step 2: Convert to fraction form
    3,325.22/3,669.47 = 3,669.47/x
  3. Step 3: Cross multiply
    3,325.22x = 3,669.47 × 3,669.47
  4. Step 4: Simplify right side
    3,325.22x = 13,465,000.91
  5. Step 5: Solve for x
    x = 13,465,000.91/3,325.22
  6. Step 6: Final answer
    x = 4,049.36

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.