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Finding the Third Proportional to 26,194.50 and 57,033

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Solution

The third proportional to 26,194.50 and 57,033 is: 124,177.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,194.50 : 57,033 = 57,033 : x
  2. Step 2: Convert to fraction form
    26,194.50/57,033 = 57,033/x
  3. Step 3: Cross multiply
    26,194.50x = 57,033 × 57,033
  4. Step 4: Simplify right side
    26,194.50x = 3,252,763,089
  5. Step 5: Solve for x
    x = 3,252,763,089/26,194.50
  6. Step 6: Final answer
    x = 124,177.33

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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.