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Finding the Third Proportional to 12,000 and 17,952

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Solution

The third proportional to 12,000 and 17,952 is: 26,856.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,000 : 17,952 = 17,952 : x
  2. Step 2: Convert to fraction form
    12,000/17,952 = 17,952/x
  3. Step 3: Cross multiply
    12,000x = 17,952 × 17,952
  4. Step 4: Simplify right side
    12,000x = 322,274,304
  5. Step 5: Solve for x
    x = 322,274,304/12,000
  6. Step 6: Final answer
    x = 26,856.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.