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Finding the Third Proportional to 20,135.25 and 31,131.84

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Solution

The third proportional to 20,135.25 and 31,131.84 is: 48,134.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,135.25 : 31,131.84 = 31,131.84 : x
  2. Step 2: Convert to fraction form
    20,135.25/31,131.84 = 31,131.84/x
  3. Step 3: Cross multiply
    20,135.25x = 31,131.84 × 31,131.84
  4. Step 4: Simplify right side
    20,135.25x = 969,191,695.27
  5. Step 5: Solve for x
    x = 969,191,695.27/20,135.25
  6. Step 6: Final answer
    x = 48,134.08

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.