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Finding the Third Proportional to 19,449 and 42,663

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Solution

The third proportional to 19,449 and 42,663 is: 93,584.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,449 : 42,663 = 42,663 : x
  2. Step 2: Convert to fraction form
    19,449/42,663 = 42,663/x
  3. Step 3: Cross multiply
    19,449x = 42,663 × 42,663
  4. Step 4: Simplify right side
    19,449x = 1,820,131,569
  5. Step 5: Solve for x
    x = 1,820,131,569/19,449
  6. Step 6: Final answer
    x = 93,584.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.