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Finding the Third Proportional to 27,705.75 and 58,872.75

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Solution

The third proportional to 27,705.75 and 58,872.75 is: 125,100.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,705.75 : 58,872.75 = 58,872.75 : x
  2. Step 2: Convert to fraction form
    27,705.75/58,872.75 = 58,872.75/x
  3. Step 3: Cross multiply
    27,705.75x = 58,872.75 × 58,872.75
  4. Step 4: Simplify right side
    27,705.75x = 3,466,000,692.56
  5. Step 5: Solve for x
    x = 3,466,000,692.56/27,705.75
  6. Step 6: Final answer
    x = 125,100.41

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.