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Finding the Third Proportional to 38,082 and 56,898

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Solution

The third proportional to 38,082 and 56,898 is: 85,010.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,082 : 56,898 = 56,898 : x
  2. Step 2: Convert to fraction form
    38,082/56,898 = 56,898/x
  3. Step 3: Cross multiply
    38,082x = 56,898 × 56,898
  4. Step 4: Simplify right side
    38,082x = 3,237,382,404
  5. Step 5: Solve for x
    x = 3,237,382,404/38,082
  6. Step 6: Final answer
    x = 85,010.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.