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Finding the Third Proportional to 2,002.22 and 2,951.02

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Solution

The third proportional to 2,002.22 and 2,951.02 is: 4,349.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.22 : 2,951.02 = 2,951.02 : x
  2. Step 2: Convert to fraction form
    2,002.22/2,951.02 = 2,951.02/x
  3. Step 3: Cross multiply
    2,002.22x = 2,951.02 × 2,951.02
  4. Step 4: Simplify right side
    2,002.22x = 8,708,493.22
  5. Step 5: Solve for x
    x = 8,708,493.22/2,002.22
  6. Step 6: Final answer
    x = 4,349.42

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.