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Finding the Third Proportional to 12,288 and 18,464

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Solution

The third proportional to 12,288 and 18,464 is: 27,744.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,288 : 18,464 = 18,464 : x
  2. Step 2: Convert to fraction form
    12,288/18,464 = 18,464/x
  3. Step 3: Cross multiply
    12,288x = 18,464 × 18,464
  4. Step 4: Simplify right side
    12,288x = 340,919,296
  5. Step 5: Solve for x
    x = 340,919,296/12,288
  6. Step 6: Final answer
    x = 27,744.08

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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.