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Finding the Third Proportional to 8,235 and 9,999

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Solution

The third proportional to 8,235 and 9,999 is: 12,140.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235 : 9,999 = 9,999 : x
  2. Step 2: Convert to fraction form
    8,235/9,999 = 9,999/x
  3. Step 3: Cross multiply
    8,235x = 9,999 × 9,999
  4. Step 4: Simplify right side
    8,235x = 99,980,001
  5. Step 5: Solve for x
    x = 99,980,001/8,235
  6. Step 6: Final answer
    x = 12,140.86

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.