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Finding the Third Proportional to 12,288 and 17,988

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Solution

The third proportional to 12,288 and 17,988 is: 26,332.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,288 : 17,988 = 17,988 : x
  2. Step 2: Convert to fraction form
    12,288/17,988 = 17,988/x
  3. Step 3: Cross multiply
    12,288x = 17,988 × 17,988
  4. Step 4: Simplify right side
    12,288x = 323,568,144
  5. Step 5: Solve for x
    x = 323,568,144/12,288
  6. Step 6: Final answer
    x = 26,332.04

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.