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Finding the Third Proportional to 20,439.84 and 31,719.09

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Solution

The third proportional to 20,439.84 and 31,719.09 is: 49,222.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,439.84 : 31,719.09 = 31,719.09 : x
  2. Step 2: Convert to fraction form
    20,439.84/31,719.09 = 31,719.09/x
  3. Step 3: Cross multiply
    20,439.84x = 31,719.09 × 31,719.09
  4. Step 4: Simplify right side
    20,439.84x = 1,006,100,908.32
  5. Step 5: Solve for x
    x = 1,006,100,908.32/20,439.84
  6. Step 6: Final answer
    x = 49,222.53

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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.