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Finding the Third Proportional to 9,662 and 22,643

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Solution

The third proportional to 9,662 and 22,643 is: 53,064.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662 : 22,643 = 22,643 : x
  2. Step 2: Convert to fraction form
    9,662/22,643 = 22,643/x
  3. Step 3: Cross multiply
    9,662x = 22,643 × 22,643
  4. Step 4: Simplify right side
    9,662x = 512,705,449
  5. Step 5: Solve for x
    x = 512,705,449/9,662
  6. Step 6: Final answer
    x = 53,064.11

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.