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Finding the Third Proportional to 36,598 and 79,910

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Solution

The third proportional to 36,598 and 79,910 is: 174,479.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,598 : 79,910 = 79,910 : x
  2. Step 2: Convert to fraction form
    36,598/79,910 = 79,910/x
  3. Step 3: Cross multiply
    36,598x = 79,910 × 79,910
  4. Step 4: Simplify right side
    36,598x = 6,385,608,100
  5. Step 5: Solve for x
    x = 6,385,608,100/36,598
  6. Step 6: Final answer
    x = 174,479.70

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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.