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Finding the Third Proportional to 16,015.22 and 23,891.84

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Solution

The third proportional to 16,015.22 and 23,891.84 is: 35,642.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,015.22 : 23,891.84 = 23,891.84 : x
  2. Step 2: Convert to fraction form
    16,015.22/23,891.84 = 23,891.84/x
  3. Step 3: Cross multiply
    16,015.22x = 23,891.84 × 23,891.84
  4. Step 4: Simplify right side
    16,015.22x = 570,819,824.46
  5. Step 5: Solve for x
    x = 570,819,824.46/16,015.22
  6. Step 6: Final answer
    x = 35,642.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.