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Finding the Third Proportional to 2,814.05 and 5,226.47

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Solution

The third proportional to 2,814.05 and 5,226.47 is: 9,707.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.05 : 5,226.47 = 5,226.47 : x
  2. Step 2: Convert to fraction form
    2,814.05/5,226.47 = 5,226.47/x
  3. Step 3: Cross multiply
    2,814.05x = 5,226.47 × 5,226.47
  4. Step 4: Simplify right side
    2,814.05x = 27,315,975.59
  5. Step 5: Solve for x
    x = 27,315,975.59/2,814.05
  6. Step 6: Final answer
    x = 9,707.01

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.