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Finding the Third Proportional to 11,670 and 27,069

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Solution

The third proportional to 11,670 and 27,069 is: 62,787.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,670 : 27,069 = 27,069 : x
  2. Step 2: Convert to fraction form
    11,670/27,069 = 27,069/x
  3. Step 3: Cross multiply
    11,670x = 27,069 × 27,069
  4. Step 4: Simplify right side
    11,670x = 732,730,761
  5. Step 5: Solve for x
    x = 732,730,761/11,670
  6. Step 6: Final answer
    x = 62,787.55

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.