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Finding the Third Proportional to 34,037 and 74,794

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Solution

The third proportional to 34,037 and 74,794 is: 164,354.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,037 : 74,794 = 74,794 : x
  2. Step 2: Convert to fraction form
    34,037/74,794 = 74,794/x
  3. Step 3: Cross multiply
    34,037x = 74,794 × 74,794
  4. Step 4: Simplify right side
    34,037x = 5,594,142,436
  5. Step 5: Solve for x
    x = 5,594,142,436/34,037
  6. Step 6: Final answer
    x = 164,354.74

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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.