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Finding the Third Proportional to 38,715 and 59,183.25

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Solution

The third proportional to 38,715 and 59,183.25 is: 90,472.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,715 : 59,183.25 = 59,183.25 : x
  2. Step 2: Convert to fraction form
    38,715/59,183.25 = 59,183.25/x
  3. Step 3: Cross multiply
    38,715x = 59,183.25 × 59,183.25
  4. Step 4: Simplify right side
    38,715x = 3,502,657,080.56
  5. Step 5: Solve for x
    x = 3,502,657,080.56/38,715
  6. Step 6: Final answer
    x = 90,472.87

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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.