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Finding the Third Proportional to 33,945 and 44,637

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Solution

The third proportional to 33,945 and 44,637 is: 58,696.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,945 : 44,637 = 44,637 : x
  2. Step 2: Convert to fraction form
    33,945/44,637 = 44,637/x
  3. Step 3: Cross multiply
    33,945x = 44,637 × 44,637
  4. Step 4: Simplify right side
    33,945x = 1,992,461,769
  5. Step 5: Solve for x
    x = 1,992,461,769/33,945
  6. Step 6: Final answer
    x = 58,696.77

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.