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Finding the Third Proportional to 10,654 and 15,981

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Solution

The third proportional to 10,654 and 15,981 is: 23,971.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654 : 15,981 = 15,981 : x
  2. Step 2: Convert to fraction form
    10,654/15,981 = 15,981/x
  3. Step 3: Cross multiply
    10,654x = 15,981 × 15,981
  4. Step 4: Simplify right side
    10,654x = 255,392,361
  5. Step 5: Solve for x
    x = 255,392,361/10,654
  6. Step 6: Final answer
    x = 23,971.50

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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.