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Finding the Third Proportional to 26,867 and 57,698.50

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Solution

The third proportional to 26,867 and 57,698.50 is: 123,911.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,867 : 57,698.50 = 57,698.50 : x
  2. Step 2: Convert to fraction form
    26,867/57,698.50 = 57,698.50/x
  3. Step 3: Cross multiply
    26,867x = 57,698.50 × 57,698.50
  4. Step 4: Simplify right side
    26,867x = 3,329,116,902.25
  5. Step 5: Solve for x
    x = 3,329,116,902.25/26,867
  6. Step 6: Final answer
    x = 123,911.00

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.