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Finding the Third Proportional to 2,220.13 and 4,786.13

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Solution

The third proportional to 2,220.13 and 4,786.13 is: 10,317.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,220.13 : 4,786.13 = 4,786.13 : x
  2. Step 2: Convert to fraction form
    2,220.13/4,786.13 = 4,786.13/x
  3. Step 3: Cross multiply
    2,220.13x = 4,786.13 × 4,786.13
  4. Step 4: Simplify right side
    2,220.13x = 22,906,992.52
  5. Step 5: Solve for x
    x = 22,906,992.52/2,220.13
  6. Step 6: Final answer
    x = 10,317.88

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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.