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Finding the Third Proportional to 26,384.25 and 57,771.75

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Solution

The third proportional to 26,384.25 and 57,771.75 is: 126,498.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,384.25 : 57,771.75 = 57,771.75 : x
  2. Step 2: Convert to fraction form
    26,384.25/57,771.75 = 57,771.75/x
  3. Step 3: Cross multiply
    26,384.25x = 57,771.75 × 57,771.75
  4. Step 4: Simplify right side
    26,384.25x = 3,337,575,098.06
  5. Step 5: Solve for x
    x = 3,337,575,098.06/26,384.25
  6. Step 6: Final answer
    x = 126,498.77

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.