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Finding the Third Proportional to 19,422 and 41,612

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Solution

The third proportional to 19,422 and 41,612 is: 89,154.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,422 : 41,612 = 41,612 : x
  2. Step 2: Convert to fraction form
    19,422/41,612 = 41,612/x
  3. Step 3: Cross multiply
    19,422x = 41,612 × 41,612
  4. Step 4: Simplify right side
    19,422x = 1,731,558,544
  5. Step 5: Solve for x
    x = 1,731,558,544/19,422
  6. Step 6: Final answer
    x = 89,154.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.