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Finding the Third Proportional to 11,799 and 28,026

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Solution

The third proportional to 11,799 and 28,026 is: 66,569.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,799 : 28,026 = 28,026 : x
  2. Step 2: Convert to fraction form
    11,799/28,026 = 28,026/x
  3. Step 3: Cross multiply
    11,799x = 28,026 × 28,026
  4. Step 4: Simplify right side
    11,799x = 785,456,676
  5. Step 5: Solve for x
    x = 785,456,676/11,799
  6. Step 6: Final answer
    x = 66,569.77

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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.