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Finding the Third Proportional to 36,584 and 79,864

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Solution

The third proportional to 36,584 and 79,864 is: 174,345.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,584 : 79,864 = 79,864 : x
  2. Step 2: Convert to fraction form
    36,584/79,864 = 79,864/x
  3. Step 3: Cross multiply
    36,584x = 79,864 × 79,864
  4. Step 4: Simplify right side
    36,584x = 6,378,258,496
  5. Step 5: Solve for x
    x = 6,378,258,496/36,584
  6. Step 6: Final answer
    x = 174,345.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.