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Finding the Third Proportional to 20,215.13 and 31,808.25

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Solution

The third proportional to 20,215.13 and 31,808.25 is: 50,049.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,215.13 : 31,808.25 = 31,808.25 : x
  2. Step 2: Convert to fraction form
    20,215.13/31,808.25 = 31,808.25/x
  3. Step 3: Cross multiply
    20,215.13x = 31,808.25 × 31,808.25
  4. Step 4: Simplify right side
    20,215.13x = 1,011,764,768.06
  5. Step 5: Solve for x
    x = 1,011,764,768.06/20,215.13
  6. Step 6: Final answer
    x = 50,049.89

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.