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Finding the Third Proportional to 26,821.13 and 57,216.38

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Solution

The third proportional to 26,821.13 and 57,216.38 is: 122,057.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,821.13 : 57,216.38 = 57,216.38 : x
  2. Step 2: Convert to fraction form
    26,821.13/57,216.38 = 57,216.38/x
  3. Step 3: Cross multiply
    26,821.13x = 57,216.38 × 57,216.38
  4. Step 4: Simplify right side
    26,821.13x = 3,273,713,568.14
  5. Step 5: Solve for x
    x = 3,273,713,568.14/26,821.13
  6. Step 6: Final answer
    x = 122,057.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.