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Finding the Third Proportional to 33,538 and 47,006

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Solution

The third proportional to 33,538 and 47,006 is: 65,882.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,538 : 47,006 = 47,006 : x
  2. Step 2: Convert to fraction form
    33,538/47,006 = 47,006/x
  3. Step 3: Cross multiply
    33,538x = 47,006 × 47,006
  4. Step 4: Simplify right side
    33,538x = 2,209,564,036
  5. Step 5: Solve for x
    x = 2,209,564,036/33,538
  6. Step 6: Final answer
    x = 65,882.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.