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Finding the Third Proportional to 36,464 and 79,678

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Solution

The third proportional to 36,464 and 79,678 is: 174,105.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,464 : 79,678 = 79,678 : x
  2. Step 2: Convert to fraction form
    36,464/79,678 = 79,678/x
  3. Step 3: Cross multiply
    36,464x = 79,678 × 79,678
  4. Step 4: Simplify right side
    36,464x = 6,348,583,684
  5. Step 5: Solve for x
    x = 6,348,583,684/36,464
  6. Step 6: Final answer
    x = 174,105.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.