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Finding the Third Proportional to 19,758 and 41,838

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Solution

The third proportional to 19,758 and 41,838 is: 88,592.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,758 : 41,838 = 41,838 : x
  2. Step 2: Convert to fraction form
    19,758/41,838 = 41,838/x
  3. Step 3: Cross multiply
    19,758x = 41,838 × 41,838
  4. Step 4: Simplify right side
    19,758x = 1,750,418,244
  5. Step 5: Solve for x
    x = 1,750,418,244/19,758
  6. Step 6: Final answer
    x = 88,592.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.