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Finding the Third Proportional to 34,884 and 74,436

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Solution

The third proportional to 34,884 and 74,436 is: 158,832.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,884 : 74,436 = 74,436 : x
  2. Step 2: Convert to fraction form
    34,884/74,436 = 74,436/x
  3. Step 3: Cross multiply
    34,884x = 74,436 × 74,436
  4. Step 4: Simplify right side
    34,884x = 5,540,718,096
  5. Step 5: Solve for x
    x = 5,540,718,096/34,884
  6. Step 6: Final answer
    x = 158,832.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.