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Finding the Third Proportional to 38,617 and 57,586

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Solution

The third proportional to 38,617 and 57,586 is: 85,872.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,617 : 57,586 = 57,586 : x
  2. Step 2: Convert to fraction form
    38,617/57,586 = 57,586/x
  3. Step 3: Cross multiply
    38,617x = 57,586 × 57,586
  4. Step 4: Simplify right side
    38,617x = 3,316,147,396
  5. Step 5: Solve for x
    x = 3,316,147,396/38,617
  6. Step 6: Final answer
    x = 85,872.73

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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.