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Finding the Third Proportional to 20,959.25 and 31,709.88

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Solution

The third proportional to 20,959.25 and 31,709.88 is: 47,974.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,959.25 : 31,709.88 = 31,709.88 : x
  2. Step 2: Convert to fraction form
    20,959.25/31,709.88 = 31,709.88/x
  3. Step 3: Cross multiply
    20,959.25x = 31,709.88 × 31,709.88
  4. Step 4: Simplify right side
    20,959.25x = 1,005,516,172.52
  5. Step 5: Solve for x
    x = 1,005,516,172.52/20,959.25
  6. Step 6: Final answer
    x = 47,974.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.