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Finding the Third Proportional to 27,026.75 and 58,974.25

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Solution

The third proportional to 27,026.75 and 58,974.25 is: 128,685.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,026.75 : 58,974.25 = 58,974.25 : x
  2. Step 2: Convert to fraction form
    27,026.75/58,974.25 = 58,974.25/x
  3. Step 3: Cross multiply
    27,026.75x = 58,974.25 × 58,974.25
  4. Step 4: Simplify right side
    27,026.75x = 3,477,962,163.06
  5. Step 5: Solve for x
    x = 3,477,962,163.06/27,026.75
  6. Step 6: Final answer
    x = 128,685.92

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.