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Finding the Third Proportional to 38,715 and 59,183

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Solution

The third proportional to 38,715 and 59,183 is: 90,472.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,715 : 59,183 = 59,183 : x
  2. Step 2: Convert to fraction form
    38,715/59,183 = 59,183/x
  3. Step 3: Cross multiply
    38,715x = 59,183 × 59,183
  4. Step 4: Simplify right side
    38,715x = 3,502,627,489
  5. Step 5: Solve for x
    x = 3,502,627,489/38,715
  6. Step 6: Final answer
    x = 90,472.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.