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Finding the Third Proportional to 38,794 and 59,318

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Solution

The third proportional to 38,794 and 59,318 is: 90,700.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,794 : 59,318 = 59,318 : x
  2. Step 2: Convert to fraction form
    38,794/59,318 = 59,318/x
  3. Step 3: Cross multiply
    38,794x = 59,318 × 59,318
  4. Step 4: Simplify right side
    38,794x = 3,518,625,124
  5. Step 5: Solve for x
    x = 3,518,625,124/38,794
  6. Step 6: Final answer
    x = 90,700.24

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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.