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Finding the Third Proportional to 6,071 and 11,291

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Solution

The third proportional to 6,071 and 11,291 is: 20,999.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071 : 11,291 = 11,291 : x
  2. Step 2: Convert to fraction form
    6,071/11,291 = 11,291/x
  3. Step 3: Cross multiply
    6,071x = 11,291 × 11,291
  4. Step 4: Simplify right side
    6,071x = 127,486,681
  5. Step 5: Solve for x
    x = 127,486,681/6,071
  6. Step 6: Final answer
    x = 20,999.29

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.