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Finding the Third Proportional to 14,582 and 21,801

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Solution

The third proportional to 14,582 and 21,801 is: 32,593.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,582 : 21,801 = 21,801 : x
  2. Step 2: Convert to fraction form
    14,582/21,801 = 21,801/x
  3. Step 3: Cross multiply
    14,582x = 21,801 × 21,801
  4. Step 4: Simplify right side
    14,582x = 475,283,601
  5. Step 5: Solve for x
    x = 475,283,601/14,582
  6. Step 6: Final answer
    x = 32,593.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.