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Finding the Third Proportional to 1,023.05 and 1,451.88

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Solution

The third proportional to 1,023.05 and 1,451.88 is: 2,060.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.05 : 1,451.88 = 1,451.88 : x
  2. Step 2: Convert to fraction form
    1,023.05/1,451.88 = 1,451.88/x
  3. Step 3: Cross multiply
    1,023.05x = 1,451.88 × 1,451.88
  4. Step 4: Simplify right side
    1,023.05x = 2,107,963.70
  5. Step 5: Solve for x
    x = 2,107,963.70/1,023.05
  6. Step 6: Final answer
    x = 2,060.48

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.