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Finding the Third Proportional to 19,754 and 41,832

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Solution

The third proportional to 19,754 and 41,832 is: 88,585.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,754 : 41,832 = 41,832 : x
  2. Step 2: Convert to fraction form
    19,754/41,832 = 41,832/x
  3. Step 3: Cross multiply
    19,754x = 41,832 × 41,832
  4. Step 4: Simplify right side
    19,754x = 1,749,916,224
  5. Step 5: Solve for x
    x = 1,749,916,224/19,754
  6. Step 6: Final answer
    x = 88,585.41

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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.