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Finding the Third Proportional to 12,069 and 17,091

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Solution

The third proportional to 12,069 and 17,091 is: 24,202.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,069 : 17,091 = 17,091 : x
  2. Step 2: Convert to fraction form
    12,069/17,091 = 17,091/x
  3. Step 3: Cross multiply
    12,069x = 17,091 × 17,091
  4. Step 4: Simplify right side
    12,069x = 292,102,281
  5. Step 5: Solve for x
    x = 292,102,281/12,069
  6. Step 6: Final answer
    x = 24,202.69

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.