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Finding the Third Proportional to 951.75 and 1,034.65

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Solution

The third proportional to 951.75 and 1,034.65 is: 1,124.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.75 : 1,034.65 = 1,034.65 : x
  2. Step 2: Convert to fraction form
    951.75/1,034.65 = 1,034.65/x
  3. Step 3: Cross multiply
    951.75x = 1,034.65 × 1,034.65
  4. Step 4: Simplify right side
    951.75x = 1,070,497.39
  5. Step 5: Solve for x
    x = 1,070,497.39/951.75
  6. Step 6: Final answer
    x = 1,124.77

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.