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Finding the Third Proportional to 9,963 and 21,357

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Solution

The third proportional to 9,963 and 21,357 is: 45,781.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,963 : 21,357 = 21,357 : x
  2. Step 2: Convert to fraction form
    9,963/21,357 = 21,357/x
  3. Step 3: Cross multiply
    9,963x = 21,357 × 21,357
  4. Step 4: Simplify right side
    9,963x = 456,121,449
  5. Step 5: Solve for x
    x = 456,121,449/9,963
  6. Step 6: Final answer
    x = 45,781.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.