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Finding the Third Proportional to 36,564 and 79,827

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Solution

The third proportional to 36,564 and 79,827 is: 174,279.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,564 : 79,827 = 79,827 : x
  2. Step 2: Convert to fraction form
    36,564/79,827 = 79,827/x
  3. Step 3: Cross multiply
    36,564x = 79,827 × 79,827
  4. Step 4: Simplify right side
    36,564x = 6,372,349,929
  5. Step 5: Solve for x
    x = 6,372,349,929/36,564
  6. Step 6: Final answer
    x = 174,279.34

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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.