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Finding the Third Proportional to 9,984 and 15,885

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Solution

The third proportional to 9,984 and 15,885 is: 25,273.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984 : 15,885 = 15,885 : x
  2. Step 2: Convert to fraction form
    9,984/15,885 = 15,885/x
  3. Step 3: Cross multiply
    9,984x = 15,885 × 15,885
  4. Step 4: Simplify right side
    9,984x = 252,333,225
  5. Step 5: Solve for x
    x = 252,333,225/9,984
  6. Step 6: Final answer
    x = 25,273.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.