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Finding the Third Proportional to 14,101.88 and 30,972.38

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Solution

The third proportional to 14,101.88 and 30,972.38 is: 68,025.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,101.88 : 30,972.38 = 30,972.38 : x
  2. Step 2: Convert to fraction form
    14,101.88/30,972.38 = 30,972.38/x
  3. Step 3: Cross multiply
    14,101.88x = 30,972.38 × 30,972.38
  4. Step 4: Simplify right side
    14,101.88x = 959,288,013.14
  5. Step 5: Solve for x
    x = 959,288,013.14/14,101.88
  6. Step 6: Final answer
    x = 68,025.56

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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.