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Finding the Third Proportional to 15,934 and 22,286.50

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Solution

The third proportional to 15,934 and 22,286.50 is: 31,171.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,934 : 22,286.50 = 22,286.50 : x
  2. Step 2: Convert to fraction form
    15,934/22,286.50 = 22,286.50/x
  3. Step 3: Cross multiply
    15,934x = 22,286.50 × 22,286.50
  4. Step 4: Simplify right side
    15,934x = 496,688,082.25
  5. Step 5: Solve for x
    x = 496,688,082.25/15,934
  6. Step 6: Final answer
    x = 31,171.59

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.