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Finding the Third Proportional to 47,277 and 69,981

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Solution

The third proportional to 47,277 and 69,981 is: 103,588.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,277 : 69,981 = 69,981 : x
  2. Step 2: Convert to fraction form
    47,277/69,981 = 69,981/x
  3. Step 3: Cross multiply
    47,277x = 69,981 × 69,981
  4. Step 4: Simplify right side
    47,277x = 4,897,340,361
  5. Step 5: Solve for x
    x = 4,897,340,361/47,277
  6. Step 6: Final answer
    x = 103,588.22

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.