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Finding the Third Proportional to 20,251.97 and 30,377.81

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Solution

The third proportional to 20,251.97 and 30,377.81 is: 45,566.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,251.97 : 30,377.81 = 30,377.81 : x
  2. Step 2: Convert to fraction form
    20,251.97/30,377.81 = 30,377.81/x
  3. Step 3: Cross multiply
    20,251.97x = 30,377.81 × 30,377.81
  4. Step 4: Simplify right side
    20,251.97x = 922,811,492.29
  5. Step 5: Solve for x
    x = 922,811,492.29/20,251.97
  6. Step 6: Final answer
    x = 45,566.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.