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Finding the Third Proportional to 951.75 and 1,476.35

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Solution

The third proportional to 951.75 and 1,476.35 is: 2,290.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.75 : 1,476.35 = 1,476.35 : x
  2. Step 2: Convert to fraction form
    951.75/1,476.35 = 1,476.35/x
  3. Step 3: Cross multiply
    951.75x = 1,476.35 × 1,476.35
  4. Step 4: Simplify right side
    951.75x = 2,179,613.94
  5. Step 5: Solve for x
    x = 2,179,613.94/951.75
  6. Step 6: Final answer
    x = 2,290.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.