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Finding the Third Proportional to 38,704 and 59,164

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Solution

The third proportional to 38,704 and 59,164 is: 90,439.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,704 : 59,164 = 59,164 : x
  2. Step 2: Convert to fraction form
    38,704/59,164 = 59,164/x
  3. Step 3: Cross multiply
    38,704x = 59,164 × 59,164
  4. Step 4: Simplify right side
    38,704x = 3,500,378,896
  5. Step 5: Solve for x
    x = 3,500,378,896/38,704
  6. Step 6: Final answer
    x = 90,439.72

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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.