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Finding the Third Proportional to 33,973 and 51,473

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Solution

The third proportional to 33,973 and 51,473 is: 77,987.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,973 : 51,473 = 51,473 : x
  2. Step 2: Convert to fraction form
    33,973/51,473 = 51,473/x
  3. Step 3: Cross multiply
    33,973x = 51,473 × 51,473
  4. Step 4: Simplify right side
    33,973x = 2,649,469,729
  5. Step 5: Solve for x
    x = 2,649,469,729/33,973
  6. Step 6: Final answer
    x = 77,987.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.