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Finding the Third Proportional to 2,216.53 and 4,810.78

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Solution

The third proportional to 2,216.53 and 4,810.78 is: 10,441.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.53 : 4,810.78 = 4,810.78 : x
  2. Step 2: Convert to fraction form
    2,216.53/4,810.78 = 4,810.78/x
  3. Step 3: Cross multiply
    2,216.53x = 4,810.78 × 4,810.78
  4. Step 4: Simplify right side
    2,216.53x = 23,143,616.24
  5. Step 5: Solve for x
    x = 23,143,616.24/2,216.53
  6. Step 6: Final answer
    x = 10,441.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.