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Finding the Third Proportional to 21,641 and 32,696

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Solution

The third proportional to 21,641 and 32,696 is: 49,398.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,641 : 32,696 = 32,696 : x
  2. Step 2: Convert to fraction form
    21,641/32,696 = 32,696/x
  3. Step 3: Cross multiply
    21,641x = 32,696 × 32,696
  4. Step 4: Simplify right side
    21,641x = 1,069,028,416
  5. Step 5: Solve for x
    x = 1,069,028,416/21,641
  6. Step 6: Final answer
    x = 49,398.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.