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Finding the Third Proportional to 19,908 and 41,733

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Solution

The third proportional to 19,908 and 41,733 is: 87,484.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,908 : 41,733 = 41,733 : x
  2. Step 2: Convert to fraction form
    19,908/41,733 = 41,733/x
  3. Step 3: Cross multiply
    19,908x = 41,733 × 41,733
  4. Step 4: Simplify right side
    19,908x = 1,741,643,289
  5. Step 5: Solve for x
    x = 1,741,643,289/19,908
  6. Step 6: Final answer
    x = 87,484.59

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.