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Finding the Third Proportional to 1,282.61 and 1,933.14

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Solution

The third proportional to 1,282.61 and 1,933.14 is: 2,913.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.61 : 1,933.14 = 1,933.14 : x
  2. Step 2: Convert to fraction form
    1,282.61/1,933.14 = 1,933.14/x
  3. Step 3: Cross multiply
    1,282.61x = 1,933.14 × 1,933.14
  4. Step 4: Simplify right side
    1,282.61x = 3,737,017.57
  5. Step 5: Solve for x
    x = 3,737,017.57/1,282.61
  6. Step 6: Final answer
    x = 2,913.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.