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Finding the Third Proportional to 18,121.50 and 31,797

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Solution

The third proportional to 18,121.50 and 31,797 is: 55,792.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,121.50 : 31,797 = 31,797 : x
  2. Step 2: Convert to fraction form
    18,121.50/31,797 = 31,797/x
  3. Step 3: Cross multiply
    18,121.50x = 31,797 × 31,797
  4. Step 4: Simplify right side
    18,121.50x = 1,011,049,209
  5. Step 5: Solve for x
    x = 1,011,049,209/18,121.50
  6. Step 6: Final answer
    x = 55,792.80

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.