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Finding the Third Proportional to 1,288 and 3,472

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Solution

The third proportional to 1,288 and 3,472 is: 9,359.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288 : 3,472 = 3,472 : x
  2. Step 2: Convert to fraction form
    1,288/3,472 = 3,472/x
  3. Step 3: Cross multiply
    1,288x = 3,472 × 3,472
  4. Step 4: Simplify right side
    1,288x = 12,054,784
  5. Step 5: Solve for x
    x = 12,054,784/1,288
  6. Step 6: Final answer
    x = 9,359.30

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.