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Finding the Third Proportional to 13,802 and 21,523

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Solution

The third proportional to 13,802 and 21,523 is: 33,563.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802 : 21,523 = 21,523 : x
  2. Step 2: Convert to fraction form
    13,802/21,523 = 21,523/x
  3. Step 3: Cross multiply
    13,802x = 21,523 × 21,523
  4. Step 4: Simplify right side
    13,802x = 463,239,529
  5. Step 5: Solve for x
    x = 463,239,529/13,802
  6. Step 6: Final answer
    x = 33,563.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.