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Finding the Third Proportional to 33,082.50 and 51,239

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Solution

The third proportional to 33,082.50 and 51,239 is: 79,360.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,082.50 : 51,239 = 51,239 : x
  2. Step 2: Convert to fraction form
    33,082.50/51,239 = 51,239/x
  3. Step 3: Cross multiply
    33,082.50x = 51,239 × 51,239
  4. Step 4: Simplify right side
    33,082.50x = 2,625,435,121
  5. Step 5: Solve for x
    x = 2,625,435,121/33,082.50
  6. Step 6: Final answer
    x = 79,360.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.