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Finding the Third Proportional to 26,149.50 and 36,007.88

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Solution

The third proportional to 26,149.50 and 36,007.88 is: 49,582.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,149.50 : 36,007.88 = 36,007.88 : x
  2. Step 2: Convert to fraction form
    26,149.50/36,007.88 = 36,007.88/x
  3. Step 3: Cross multiply
    26,149.50x = 36,007.88 × 36,007.88
  4. Step 4: Simplify right side
    26,149.50x = 1,296,567,062.02
  5. Step 5: Solve for x
    x = 1,296,567,062.02/26,149.50
  6. Step 6: Final answer
    x = 49,582.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.