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Finding the Third Proportional to 35,551 and 76,286

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Solution

The third proportional to 35,551 and 76,286 is: 163,695.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,551 : 76,286 = 76,286 : x
  2. Step 2: Convert to fraction form
    35,551/76,286 = 76,286/x
  3. Step 3: Cross multiply
    35,551x = 76,286 × 76,286
  4. Step 4: Simplify right side
    35,551x = 5,819,553,796
  5. Step 5: Solve for x
    x = 5,819,553,796/35,551
  6. Step 6: Final answer
    x = 163,695.92

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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.