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Finding the Third Proportional to 16,864 and 24,293

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Solution

The third proportional to 16,864 and 24,293 is: 34,994.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,864 : 24,293 = 24,293 : x
  2. Step 2: Convert to fraction form
    16,864/24,293 = 24,293/x
  3. Step 3: Cross multiply
    16,864x = 24,293 × 24,293
  4. Step 4: Simplify right side
    16,864x = 590,149,849
  5. Step 5: Solve for x
    x = 590,149,849/16,864
  6. Step 6: Final answer
    x = 34,994.65

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.