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Finding the Third Proportional to 26,291.63 and 57,019.31

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Solution

The third proportional to 26,291.63 and 57,019.31 is: 123,659.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,291.63 : 57,019.31 = 57,019.31 : x
  2. Step 2: Convert to fraction form
    26,291.63/57,019.31 = 57,019.31/x
  3. Step 3: Cross multiply
    26,291.63x = 57,019.31 × 57,019.31
  4. Step 4: Simplify right side
    26,291.63x = 3,251,201,997.97
  5. Step 5: Solve for x
    x = 3,251,201,997.97/26,291.63
  6. Step 6: Final answer
    x = 123,659.23

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