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Finding the Third Proportional to 951.75 and 1,023.26

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Solution

The third proportional to 951.75 and 1,023.26 is: 1,100.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.75 : 1,023.26 = 1,023.26 : x
  2. Step 2: Convert to fraction form
    951.75/1,023.26 = 1,023.26/x
  3. Step 3: Cross multiply
    951.75x = 1,023.26 × 1,023.26
  4. Step 4: Simplify right side
    951.75x = 1,047,056.55
  5. Step 5: Solve for x
    x = 1,047,056.55/951.75
  6. Step 6: Final answer
    x = 1,100.14

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.