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Finding the Third Proportional to 20,595.94 and 31,121.72

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Solution

The third proportional to 20,595.94 and 31,121.72 is: 47,026.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,595.94 : 31,121.72 = 31,121.72 : x
  2. Step 2: Convert to fraction form
    20,595.94/31,121.72 = 31,121.72/x
  3. Step 3: Cross multiply
    20,595.94x = 31,121.72 × 31,121.72
  4. Step 4: Simplify right side
    20,595.94x = 968,561,377.95
  5. Step 5: Solve for x
    x = 968,561,377.95/20,595.94
  6. Step 6: Final answer
    x = 47,026.82

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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.