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Finding the Third Proportional to 837.42 and 1,282.92

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Solution

The third proportional to 837.42 and 1,282.92 is: 1,965.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.42 : 1,282.92 = 1,282.92 : x
  2. Step 2: Convert to fraction form
    837.42/1,282.92 = 1,282.92/x
  3. Step 3: Cross multiply
    837.42x = 1,282.92 × 1,282.92
  4. Step 4: Simplify right side
    837.42x = 1,645,888.54
  5. Step 5: Solve for x
    x = 1,645,888.54/837.42
  6. Step 6: Final answer
    x = 1,965.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.