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Finding the Third Proportional to 17,943 and 41,910

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Solution

The third proportional to 17,943 and 41,910 is: 97,890.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,943 : 41,910 = 41,910 : x
  2. Step 2: Convert to fraction form
    17,943/41,910 = 41,910/x
  3. Step 3: Cross multiply
    17,943x = 41,910 × 41,910
  4. Step 4: Simplify right side
    17,943x = 1,756,448,100
  5. Step 5: Solve for x
    x = 1,756,448,100/17,943
  6. Step 6: Final answer
    x = 97,890.44

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.