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Finding the Third Proportional to 16,415.16 and 23,229.28

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Solution

The third proportional to 16,415.16 and 23,229.28 is: 32,872.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,415.16 : 23,229.28 = 23,229.28 : x
  2. Step 2: Convert to fraction form
    16,415.16/23,229.28 = 23,229.28/x
  3. Step 3: Cross multiply
    16,415.16x = 23,229.28 × 23,229.28
  4. Step 4: Simplify right side
    16,415.16x = 539,599,507.39
  5. Step 5: Solve for x
    x = 539,599,507.39/16,415.16
  6. Step 6: Final answer
    x = 32,872.03

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.