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Finding the Third Proportional to 37,498.50 and 79,213.50

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Solution

The third proportional to 37,498.50 and 79,213.50 is: 167,334.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,498.50 : 79,213.50 = 79,213.50 : x
  2. Step 2: Convert to fraction form
    37,498.50/79,213.50 = 79,213.50/x
  3. Step 3: Cross multiply
    37,498.50x = 79,213.50 × 79,213.50
  4. Step 4: Simplify right side
    37,498.50x = 6,274,778,582.25
  5. Step 5: Solve for x
    x = 6,274,778,582.25/37,498.50
  6. Step 6: Final answer
    x = 167,334.12

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.