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Finding the Third Proportional to 6,882 and 9,999

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Solution

The third proportional to 6,882 and 9,999 is: 14,527.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,882 : 9,999 = 9,999 : x
  2. Step 2: Convert to fraction form
    6,882/9,999 = 9,999/x
  3. Step 3: Cross multiply
    6,882x = 9,999 × 9,999
  4. Step 4: Simplify right side
    6,882x = 99,980,001
  5. Step 5: Solve for x
    x = 99,980,001/6,882
  6. Step 6: Final answer
    x = 14,527.75

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.