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Finding the Third Proportional to 17,946 and 41,919.75

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Solution

The third proportional to 17,946 and 41,919.75 is: 97,919.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,946 : 41,919.75 = 41,919.75 : x
  2. Step 2: Convert to fraction form
    17,946/41,919.75 = 41,919.75/x
  3. Step 3: Cross multiply
    17,946x = 41,919.75 × 41,919.75
  4. Step 4: Simplify right side
    17,946x = 1,757,265,440.06
  5. Step 5: Solve for x
    x = 1,757,265,440.06/17,946
  6. Step 6: Final answer
    x = 97,919.62

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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.