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Finding the Third Proportional to 16,233.54 and 24,284.81

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Solution

The third proportional to 16,233.54 and 24,284.81 is: 36,329.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,233.54 : 24,284.81 = 24,284.81 : x
  2. Step 2: Convert to fraction form
    16,233.54/24,284.81 = 24,284.81/x
  3. Step 3: Cross multiply
    16,233.54x = 24,284.81 × 24,284.81
  4. Step 4: Simplify right side
    16,233.54x = 589,752,118.16
  5. Step 5: Solve for x
    x = 589,752,118.16/16,233.54
  6. Step 6: Final answer
    x = 36,329.24

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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.