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Finding the Third Proportional to 2,054.81 and 4,491.84

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Solution

The third proportional to 2,054.81 and 4,491.84 is: 9,819.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.81 : 4,491.84 = 4,491.84 : x
  2. Step 2: Convert to fraction form
    2,054.81/4,491.84 = 4,491.84/x
  3. Step 3: Cross multiply
    2,054.81x = 4,491.84 × 4,491.84
  4. Step 4: Simplify right side
    2,054.81x = 20,176,660.27
  5. Step 5: Solve for x
    x = 20,176,660.27/2,054.81
  6. Step 6: Final answer
    x = 9,819.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.