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Finding the Third Proportional to 2,240.16 and 4,817.81

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Solution

The third proportional to 2,240.16 and 4,817.81 is: 10,361.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,240.16 : 4,817.81 = 4,817.81 : x
  2. Step 2: Convert to fraction form
    2,240.16/4,817.81 = 4,817.81/x
  3. Step 3: Cross multiply
    2,240.16x = 4,817.81 × 4,817.81
  4. Step 4: Simplify right side
    2,240.16x = 23,211,317.29
  5. Step 5: Solve for x
    x = 23,211,317.29/2,240.16
  6. Step 6: Final answer
    x = 10,361.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.