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Finding the Third Proportional to 36,484 and 59,568

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Solution

The third proportional to 36,484 and 59,568 is: 97,257.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,484 : 59,568 = 59,568 : x
  2. Step 2: Convert to fraction form
    36,484/59,568 = 59,568/x
  3. Step 3: Cross multiply
    36,484x = 59,568 × 59,568
  4. Step 4: Simplify right side
    36,484x = 3,548,346,624
  5. Step 5: Solve for x
    x = 3,548,346,624/36,484
  6. Step 6: Final answer
    x = 97,257.61

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.