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Finding the Third Proportional to 12,864 and 27,310

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Solution

The third proportional to 12,864 and 27,310 is: 57,978.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,864 : 27,310 = 27,310 : x
  2. Step 2: Convert to fraction form
    12,864/27,310 = 27,310/x
  3. Step 3: Cross multiply
    12,864x = 27,310 × 27,310
  4. Step 4: Simplify right side
    12,864x = 745,836,100
  5. Step 5: Solve for x
    x = 745,836,100/12,864
  6. Step 6: Final answer
    x = 57,978.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.