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Finding the Third Proportional to 33,498 and 47,614

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Solution

The third proportional to 33,498 and 47,614 is: 67,678.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,498 : 47,614 = 47,614 : x
  2. Step 2: Convert to fraction form
    33,498/47,614 = 47,614/x
  3. Step 3: Cross multiply
    33,498x = 47,614 × 47,614
  4. Step 4: Simplify right side
    33,498x = 2,267,092,996
  5. Step 5: Solve for x
    x = 2,267,092,996/33,498
  6. Step 6: Final answer
    x = 67,678.46

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.