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Finding the Third Proportional to 1,288 and 1,864

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Solution

The third proportional to 1,288 and 1,864 is: 2,697.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288 : 1,864 = 1,864 : x
  2. Step 2: Convert to fraction form
    1,288/1,864 = 1,864/x
  3. Step 3: Cross multiply
    1,288x = 1,864 × 1,864
  4. Step 4: Simplify right side
    1,288x = 3,474,496
  5. Step 5: Solve for x
    x = 3,474,496/1,288
  6. Step 6: Final answer
    x = 2,697.59

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.