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Finding the Third Proportional to 12,288 and 17,312

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Solution

The third proportional to 12,288 and 17,312 is: 24,390.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,288 : 17,312 = 17,312 : x
  2. Step 2: Convert to fraction form
    12,288/17,312 = 17,312/x
  3. Step 3: Cross multiply
    12,288x = 17,312 × 17,312
  4. Step 4: Simplify right side
    12,288x = 299,705,344
  5. Step 5: Solve for x
    x = 299,705,344/12,288
  6. Step 6: Final answer
    x = 24,390.08

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.