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Finding the Third Proportional to 19,882.13 and 30,744.56

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Solution

The third proportional to 19,882.13 and 30,744.56 is: 47,541.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,882.13 : 30,744.56 = 30,744.56 : x
  2. Step 2: Convert to fraction form
    19,882.13/30,744.56 = 30,744.56/x
  3. Step 3: Cross multiply
    19,882.13x = 30,744.56 × 30,744.56
  4. Step 4: Simplify right side
    19,882.13x = 945,228,123.32
  5. Step 5: Solve for x
    x = 945,228,123.32/19,882.13
  6. Step 6: Final answer
    x = 47,541.60

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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.