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Finding the Third Proportional to 18,171.84 and 24,546.80

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Solution

The third proportional to 18,171.84 and 24,546.80 is: 33,158.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,171.84 : 24,546.80 = 24,546.80 : x
  2. Step 2: Convert to fraction form
    18,171.84/24,546.80 = 24,546.80/x
  3. Step 3: Cross multiply
    18,171.84x = 24,546.80 × 24,546.80
  4. Step 4: Simplify right side
    18,171.84x = 602,545,236.82
  5. Step 5: Solve for x
    x = 602,545,236.82/18,171.84
  6. Step 6: Final answer
    x = 33,158.18

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.