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Finding the Third Proportional to 38,977 and 85,898

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Solution

The third proportional to 38,977 and 85,898 is: 189,303.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,977 : 85,898 = 85,898 : x
  2. Step 2: Convert to fraction form
    38,977/85,898 = 85,898/x
  3. Step 3: Cross multiply
    38,977x = 85,898 × 85,898
  4. Step 4: Simplify right side
    38,977x = 7,378,466,404
  5. Step 5: Solve for x
    x = 7,378,466,404/38,977
  6. Step 6: Final answer
    x = 189,303.09

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.