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Finding the Third Proportional to 35,668 and 76,274

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Solution

The third proportional to 35,668 and 76,274 is: 163,107.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,668 : 76,274 = 76,274 : x
  2. Step 2: Convert to fraction form
    35,668/76,274 = 76,274/x
  3. Step 3: Cross multiply
    35,668x = 76,274 × 76,274
  4. Step 4: Simplify right side
    35,668x = 5,817,723,076
  5. Step 5: Solve for x
    x = 5,817,723,076/35,668
  6. Step 6: Final answer
    x = 163,107.63

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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.