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Finding the Third Proportional to 33,983 and 49,973

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Solution

The third proportional to 33,983 and 49,973 is: 73,486.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,983 : 49,973 = 49,973 : x
  2. Step 2: Convert to fraction form
    33,983/49,973 = 49,973/x
  3. Step 3: Cross multiply
    33,983x = 49,973 × 49,973
  4. Step 4: Simplify right side
    33,983x = 2,497,300,729
  5. Step 5: Solve for x
    x = 2,497,300,729/33,983
  6. Step 6: Final answer
    x = 73,486.76

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.