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Finding the Third Proportional to 36,553 and 79,716

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Solution

The third proportional to 36,553 and 79,716 is: 173,847.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,553 : 79,716 = 79,716 : x
  2. Step 2: Convert to fraction form
    36,553/79,716 = 79,716/x
  3. Step 3: Cross multiply
    36,553x = 79,716 × 79,716
  4. Step 4: Simplify right side
    36,553x = 6,354,640,656
  5. Step 5: Solve for x
    x = 6,354,640,656/36,553
  6. Step 6: Final answer
    x = 173,847.31

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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.