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Finding the Third Proportional to 38,082 and 57,787

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Solution

The third proportional to 38,082 and 57,787 is: 87,688.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,082 : 57,787 = 57,787 : x
  2. Step 2: Convert to fraction form
    38,082/57,787 = 57,787/x
  3. Step 3: Cross multiply
    38,082x = 57,787 × 57,787
  4. Step 4: Simplify right side
    38,082x = 3,339,337,369
  5. Step 5: Solve for x
    x = 3,339,337,369/38,082
  6. Step 6: Final answer
    x = 87,688.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.