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Finding the Third Proportional to 34,794 and 74,508

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Solution

The third proportional to 34,794 and 74,508 is: 159,551.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,794 : 74,508 = 74,508 : x
  2. Step 2: Convert to fraction form
    34,794/74,508 = 74,508/x
  3. Step 3: Cross multiply
    34,794x = 74,508 × 74,508
  4. Step 4: Simplify right side
    34,794x = 5,551,442,064
  5. Step 5: Solve for x
    x = 5,551,442,064/34,794
  6. Step 6: Final answer
    x = 159,551.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.