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Finding the Third Proportional to 27,947 and 43,257

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Solution

The third proportional to 27,947 and 43,257 is: 66,954.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,947 : 43,257 = 43,257 : x
  2. Step 2: Convert to fraction form
    27,947/43,257 = 43,257/x
  3. Step 3: Cross multiply
    27,947x = 43,257 × 43,257
  4. Step 4: Simplify right side
    27,947x = 1,871,168,049
  5. Step 5: Solve for x
    x = 1,871,168,049/27,947
  6. Step 6: Final answer
    x = 66,954.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.