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Finding the Third Proportional to 951.75 and 2,280.02

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Solution

The third proportional to 951.75 and 2,280.02 is: 5,462.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.75 : 2,280.02 = 2,280.02 : x
  2. Step 2: Convert to fraction form
    951.75/2,280.02 = 2,280.02/x
  3. Step 3: Cross multiply
    951.75x = 2,280.02 × 2,280.02
  4. Step 4: Simplify right side
    951.75x = 5,198,506.88
  5. Step 5: Solve for x
    x = 5,198,506.88/951.75
  6. Step 6: Final answer
    x = 5,462.05

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.