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Finding the Third Proportional to 27,950 and 42,286

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Solution

The third proportional to 27,950 and 42,286 is: 63,975.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,950 : 42,286 = 42,286 : x
  2. Step 2: Convert to fraction form
    27,950/42,286 = 42,286/x
  3. Step 3: Cross multiply
    27,950x = 42,286 × 42,286
  4. Step 4: Simplify right side
    27,950x = 1,788,105,796
  5. Step 5: Solve for x
    x = 1,788,105,796/27,950
  6. Step 6: Final answer
    x = 63,975.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.