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Finding the Third Proportional to 36,551 and 79,708

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Solution

The third proportional to 36,551 and 79,708 is: 173,821.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,551 : 79,708 = 79,708 : x
  2. Step 2: Convert to fraction form
    36,551/79,708 = 79,708/x
  3. Step 3: Cross multiply
    36,551x = 79,708 × 79,708
  4. Step 4: Simplify right side
    36,551x = 6,353,365,264
  5. Step 5: Solve for x
    x = 6,353,365,264/36,551
  6. Step 6: Final answer
    x = 173,821.93

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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.