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Finding the Third Proportional to 8,174 and 12,999

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Solution

The third proportional to 8,174 and 12,999 is: 20,672.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174 : 12,999 = 12,999 : x
  2. Step 2: Convert to fraction form
    8,174/12,999 = 12,999/x
  3. Step 3: Cross multiply
    8,174x = 12,999 × 12,999
  4. Step 4: Simplify right side
    8,174x = 168,974,001
  5. Step 5: Solve for x
    x = 168,974,001/8,174
  6. Step 6: Final answer
    x = 20,672.13

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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.