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Finding the Third Proportional to 2,270.11 and 4,898.81

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Solution

The third proportional to 2,270.11 and 4,898.81 is: 10,571.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.11 : 4,898.81 = 4,898.81 : x
  2. Step 2: Convert to fraction form
    2,270.11/4,898.81 = 4,898.81/x
  3. Step 3: Cross multiply
    2,270.11x = 4,898.81 × 4,898.81
  4. Step 4: Simplify right side
    2,270.11x = 23,998,363.91
  5. Step 5: Solve for x
    x = 23,998,363.91/2,270.11
  6. Step 6: Final answer
    x = 10,571.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.