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Finding the Third Proportional to 10,194 and 15,885

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Solution

The third proportional to 10,194 and 15,885 is: 24,753.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194 : 15,885 = 15,885 : x
  2. Step 2: Convert to fraction form
    10,194/15,885 = 15,885/x
  3. Step 3: Cross multiply
    10,194x = 15,885 × 15,885
  4. Step 4: Simplify right side
    10,194x = 252,333,225
  5. Step 5: Solve for x
    x = 252,333,225/10,194
  6. Step 6: Final answer
    x = 24,753.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.