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Finding the Third Proportional to 17,864 and 24,348

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Solution

The third proportional to 17,864 and 24,348 is: 33,185.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,864 : 24,348 = 24,348 : x
  2. Step 2: Convert to fraction form
    17,864/24,348 = 24,348/x
  3. Step 3: Cross multiply
    17,864x = 24,348 × 24,348
  4. Step 4: Simplify right side
    17,864x = 592,825,104
  5. Step 5: Solve for x
    x = 592,825,104/17,864
  6. Step 6: Final answer
    x = 33,185.46

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.