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Finding the Third Proportional to 21,340.97 and 32,079.80

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Solution

The third proportional to 21,340.97 and 32,079.80 is: 48,222.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,340.97 : 32,079.80 = 32,079.80 : x
  2. Step 2: Convert to fraction form
    21,340.97/32,079.80 = 32,079.80/x
  3. Step 3: Cross multiply
    21,340.97x = 32,079.80 × 32,079.80
  4. Step 4: Simplify right side
    21,340.97x = 1,029,113,367.54
  5. Step 5: Solve for x
    x = 1,029,113,367.54/21,340.97
  6. Step 6: Final answer
    x = 48,222.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.