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Finding the Third Proportional to 26,434.13 and 57,224.25

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Solution

The third proportional to 26,434.13 and 57,224.25 is: 123,878.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,434.13 : 57,224.25 = 57,224.25 : x
  2. Step 2: Convert to fraction form
    26,434.13/57,224.25 = 57,224.25/x
  3. Step 3: Cross multiply
    26,434.13x = 57,224.25 × 57,224.25
  4. Step 4: Simplify right side
    26,434.13x = 3,274,614,788.06
  5. Step 5: Solve for x
    x = 3,274,614,788.06/26,434.13
  6. Step 6: Final answer
    x = 123,878.31

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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.