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Finding the Third Proportional to 36,478 and 79,346

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Solution

The third proportional to 36,478 and 79,346 is: 172,591.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,478 : 79,346 = 79,346 : x
  2. Step 2: Convert to fraction form
    36,478/79,346 = 79,346/x
  3. Step 3: Cross multiply
    36,478x = 79,346 × 79,346
  4. Step 4: Simplify right side
    36,478x = 6,295,787,716
  5. Step 5: Solve for x
    x = 6,295,787,716/36,478
  6. Step 6: Final answer
    x = 172,591.36

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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.