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Finding the Third Proportional to 20,743.59 and 31,926.66

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Solution

The third proportional to 20,743.59 and 31,926.66 is: 49,138.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,743.59 : 31,926.66 = 31,926.66 : x
  2. Step 2: Convert to fraction form
    20,743.59/31,926.66 = 31,926.66/x
  3. Step 3: Cross multiply
    20,743.59x = 31,926.66 × 31,926.66
  4. Step 4: Simplify right side
    20,743.59x = 1,019,311,379.31
  5. Step 5: Solve for x
    x = 1,019,311,379.31/20,743.59
  6. Step 6: Final answer
    x = 49,138.61

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.