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Finding the Third Proportional to 951.75 and 2,173.88

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Solution

The third proportional to 951.75 and 2,173.88 is: 4,965.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.75 : 2,173.88 = 2,173.88 : x
  2. Step 2: Convert to fraction form
    951.75/2,173.88 = 2,173.88/x
  3. Step 3: Cross multiply
    951.75x = 2,173.88 × 2,173.88
  4. Step 4: Simplify right side
    951.75x = 4,725,732.52
  5. Step 5: Solve for x
    x = 4,725,732.52/951.75
  6. Step 6: Final answer
    x = 4,965.31

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.