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Finding the Third Proportional to 22,642 and 47,349

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Solution

The third proportional to 22,642 and 47,349 is: 99,016.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,642 : 47,349 = 47,349 : x
  2. Step 2: Convert to fraction form
    22,642/47,349 = 47,349/x
  3. Step 3: Cross multiply
    22,642x = 47,349 × 47,349
  4. Step 4: Simplify right side
    22,642x = 2,241,927,801
  5. Step 5: Solve for x
    x = 2,241,927,801/22,642
  6. Step 6: Final answer
    x = 99,016.33

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.