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Finding the Third Proportional to 35,492 and 76,218

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Solution

The third proportional to 35,492 and 76,218 is: 163,675.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,492 : 76,218 = 76,218 : x
  2. Step 2: Convert to fraction form
    35,492/76,218 = 76,218/x
  3. Step 3: Cross multiply
    35,492x = 76,218 × 76,218
  4. Step 4: Simplify right side
    35,492x = 5,809,183,524
  5. Step 5: Solve for x
    x = 5,809,183,524/35,492
  6. Step 6: Final answer
    x = 163,675.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.