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Finding the Third Proportional to 5,049.84 and 10,786.92

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Solution

The third proportional to 5,049.84 and 10,786.92 is: 23,041.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,049.84 : 10,786.92 = 10,786.92 : x
  2. Step 2: Convert to fraction form
    5,049.84/10,786.92 = 10,786.92/x
  3. Step 3: Cross multiply
    5,049.84x = 10,786.92 × 10,786.92
  4. Step 4: Simplify right side
    5,049.84x = 116,357,683.54
  5. Step 5: Solve for x
    x = 116,357,683.54/5,049.84
  6. Step 6: Final answer
    x = 23,041.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.