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Finding the Third Proportional to 15,441 and 21,864

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Solution

The third proportional to 15,441 and 21,864 is: 30,958.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,441 : 21,864 = 21,864 : x
  2. Step 2: Convert to fraction form
    15,441/21,864 = 21,864/x
  3. Step 3: Cross multiply
    15,441x = 21,864 × 21,864
  4. Step 4: Simplify right side
    15,441x = 478,034,496
  5. Step 5: Solve for x
    x = 478,034,496/15,441
  6. Step 6: Final answer
    x = 30,958.78

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.