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Finding the Third Proportional to 33,913 and 49,889

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Solution

The third proportional to 33,913 and 49,889 is: 73,391.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,913 : 49,889 = 49,889 : x
  2. Step 2: Convert to fraction form
    33,913/49,889 = 49,889/x
  3. Step 3: Cross multiply
    33,913x = 49,889 × 49,889
  4. Step 4: Simplify right side
    33,913x = 2,488,912,321
  5. Step 5: Solve for x
    x = 2,488,912,321/33,913
  6. Step 6: Final answer
    x = 73,391.10

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Why These Related Problems?

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