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Finding the Third Proportional to 36,829.50 and 79,108.50

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Solution

The third proportional to 36,829.50 and 79,108.50 is: 169,922.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,829.50 : 79,108.50 = 79,108.50 : x
  2. Step 2: Convert to fraction form
    36,829.50/79,108.50 = 79,108.50/x
  3. Step 3: Cross multiply
    36,829.50x = 79,108.50 × 79,108.50
  4. Step 4: Simplify right side
    36,829.50x = 6,258,154,772.25
  5. Step 5: Solve for x
    x = 6,258,154,772.25/36,829.50
  6. Step 6: Final answer
    x = 169,922.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.