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Finding the Third Proportional to 2,951.72 and 4,126.64

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Solution

The third proportional to 2,951.72 and 4,126.64 is: 5,769.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,951.72 : 4,126.64 = 4,126.64 : x
  2. Step 2: Convert to fraction form
    2,951.72/4,126.64 = 4,126.64/x
  3. Step 3: Cross multiply
    2,951.72x = 4,126.64 × 4,126.64
  4. Step 4: Simplify right side
    2,951.72x = 17,029,162.85
  5. Step 5: Solve for x
    x = 17,029,162.85/2,951.72
  6. Step 6: Final answer
    x = 5,769.24

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.