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Finding the Third Proportional to 20,211.75 and 31,876.88

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Solution

The third proportional to 20,211.75 and 31,876.88 is: 50,274.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,211.75 : 31,876.88 = 31,876.88 : x
  2. Step 2: Convert to fraction form
    20,211.75/31,876.88 = 31,876.88/x
  3. Step 3: Cross multiply
    20,211.75x = 31,876.88 × 31,876.88
  4. Step 4: Simplify right side
    20,211.75x = 1,016,135,159.77
  5. Step 5: Solve for x
    x = 1,016,135,159.77/20,211.75
  6. Step 6: Final answer
    x = 50,274.48

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.