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Finding the Third Proportional to 1,023.75 and 1,162.13

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Solution

The third proportional to 1,023.75 and 1,162.13 is: 1,319.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.75 : 1,162.13 = 1,162.13 : x
  2. Step 2: Convert to fraction form
    1,023.75/1,162.13 = 1,162.13/x
  3. Step 3: Cross multiply
    1,023.75x = 1,162.13 × 1,162.13
  4. Step 4: Simplify right side
    1,023.75x = 1,350,534.52
  5. Step 5: Solve for x
    x = 1,350,534.52/1,023.75
  6. Step 6: Final answer
    x = 1,319.20

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.