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Finding the Third Proportional to 21,522 and 33,463

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Solution

The third proportional to 21,522 and 33,463 is: 52,029.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,522 : 33,463 = 33,463 : x
  2. Step 2: Convert to fraction form
    21,522/33,463 = 33,463/x
  3. Step 3: Cross multiply
    21,522x = 33,463 × 33,463
  4. Step 4: Simplify right side
    21,522x = 1,119,772,369
  5. Step 5: Solve for x
    x = 1,119,772,369/21,522
  6. Step 6: Final answer
    x = 52,029.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.