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Finding the Third Proportional to 35,344 and 76,922

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Solution

The third proportional to 35,344 and 76,922 is: 167,411.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,344 : 76,922 = 76,922 : x
  2. Step 2: Convert to fraction form
    35,344/76,922 = 76,922/x
  3. Step 3: Cross multiply
    35,344x = 76,922 × 76,922
  4. Step 4: Simplify right side
    35,344x = 5,916,994,084
  5. Step 5: Solve for x
    x = 5,916,994,084/35,344
  6. Step 6: Final answer
    x = 167,411.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.