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Finding the Third Proportional to 21,654 and 32,637

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Solution

The third proportional to 21,654 and 32,637 is: 49,190.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,654 : 32,637 = 32,637 : x
  2. Step 2: Convert to fraction form
    21,654/32,637 = 32,637/x
  3. Step 3: Cross multiply
    21,654x = 32,637 × 32,637
  4. Step 4: Simplify right side
    21,654x = 1,065,173,769
  5. Step 5: Solve for x
    x = 1,065,173,769/21,654
  6. Step 6: Final answer
    x = 49,190.62

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