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Finding the Third Proportional to 36,458 and 79,504

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Solution

The third proportional to 36,458 and 79,504 is: 173,374.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,458 : 79,504 = 79,504 : x
  2. Step 2: Convert to fraction form
    36,458/79,504 = 79,504/x
  3. Step 3: Cross multiply
    36,458x = 79,504 × 79,504
  4. Step 4: Simplify right side
    36,458x = 6,320,886,016
  5. Step 5: Solve for x
    x = 6,320,886,016/36,458
  6. Step 6: Final answer
    x = 173,374.46

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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.