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Finding the Third Proportional to 11,990 and 26,166.50

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Solution

The third proportional to 11,990 and 26,166.50 is: 57,104.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,990 : 26,166.50 = 26,166.50 : x
  2. Step 2: Convert to fraction form
    11,990/26,166.50 = 26,166.50/x
  3. Step 3: Cross multiply
    11,990x = 26,166.50 × 26,166.50
  4. Step 4: Simplify right side
    11,990x = 684,685,722.25
  5. Step 5: Solve for x
    x = 684,685,722.25/11,990
  6. Step 6: Final answer
    x = 57,104.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.