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Finding the Third Proportional to 10,274 and 15,444

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Solution

The third proportional to 10,274 and 15,444 is: 23,215.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,274 : 15,444 = 15,444 : x
  2. Step 2: Convert to fraction form
    10,274/15,444 = 15,444/x
  3. Step 3: Cross multiply
    10,274x = 15,444 × 15,444
  4. Step 4: Simplify right side
    10,274x = 238,517,136
  5. Step 5: Solve for x
    x = 238,517,136/10,274
  6. Step 6: Final answer
    x = 23,215.61

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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.