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Finding the Third Proportional to 11,820 and 28,110

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Solution

The third proportional to 11,820 and 28,110 is: 66,850.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,820 : 28,110 = 28,110 : x
  2. Step 2: Convert to fraction form
    11,820/28,110 = 28,110/x
  3. Step 3: Cross multiply
    11,820x = 28,110 × 28,110
  4. Step 4: Simplify right side
    11,820x = 790,172,100
  5. Step 5: Solve for x
    x = 790,172,100/11,820
  6. Step 6: Final answer
    x = 66,850.43

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.