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Finding the Third Proportional to 1,951.17 and 2,919.80

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Solution

The third proportional to 1,951.17 and 2,919.80 is: 4,369.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951.17 : 2,919.80 = 2,919.80 : x
  2. Step 2: Convert to fraction form
    1,951.17/2,919.80 = 2,919.80/x
  3. Step 3: Cross multiply
    1,951.17x = 2,919.80 × 2,919.80
  4. Step 4: Simplify right side
    1,951.17x = 8,525,213.79
  5. Step 5: Solve for x
    x = 8,525,213.79/1,951.17
  6. Step 6: Final answer
    x = 4,369.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.