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Finding the Third Proportional to 16,231.64 and 24,282.91

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Solution

The third proportional to 16,231.64 and 24,282.91 is: 36,327.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,231.64 : 24,282.91 = 24,282.91 : x
  2. Step 2: Convert to fraction form
    16,231.64/24,282.91 = 24,282.91/x
  3. Step 3: Cross multiply
    16,231.64x = 24,282.91 × 24,282.91
  4. Step 4: Simplify right side
    16,231.64x = 589,659,915.37
  5. Step 5: Solve for x
    x = 589,659,915.37/16,231.64
  6. Step 6: Final answer
    x = 36,327.81

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Why These Related Problems?

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