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Finding the Third Proportional to 21,497 and 32,863

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Solution

The third proportional to 21,497 and 32,863 is: 50,238.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,497 : 32,863 = 32,863 : x
  2. Step 2: Convert to fraction form
    21,497/32,863 = 32,863/x
  3. Step 3: Cross multiply
    21,497x = 32,863 × 32,863
  4. Step 4: Simplify right side
    21,497x = 1,079,976,769
  5. Step 5: Solve for x
    x = 1,079,976,769/21,497
  6. Step 6: Final answer
    x = 50,238.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.