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Finding the Third Proportional to 14,019.01 and 30,882.83

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Solution

The third proportional to 14,019.01 and 30,882.83 is: 68,032.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,019.01 : 30,882.83 = 30,882.83 : x
  2. Step 2: Convert to fraction form
    14,019.01/30,882.83 = 30,882.83/x
  3. Step 3: Cross multiply
    14,019.01x = 30,882.83 × 30,882.83
  4. Step 4: Simplify right side
    14,019.01x = 953,749,314.27
  5. Step 5: Solve for x
    x = 953,749,314.27/14,019.01
  6. Step 6: Final answer
    x = 68,032.56

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.