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Finding the Third Proportional to 35,898 and 79,034

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Solution

The third proportional to 35,898 and 79,034 is: 174,003.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,898 : 79,034 = 79,034 : x
  2. Step 2: Convert to fraction form
    35,898/79,034 = 79,034/x
  3. Step 3: Cross multiply
    35,898x = 79,034 × 79,034
  4. Step 4: Simplify right side
    35,898x = 6,246,373,156
  5. Step 5: Solve for x
    x = 6,246,373,156/35,898
  6. Step 6: Final answer
    x = 174,003.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.