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Finding the Third Proportional to 15,933 and 22,287

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Solution

The third proportional to 15,933 and 22,287 is: 31,174.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,933 : 22,287 = 22,287 : x
  2. Step 2: Convert to fraction form
    15,933/22,287 = 22,287/x
  3. Step 3: Cross multiply
    15,933x = 22,287 × 22,287
  4. Step 4: Simplify right side
    15,933x = 496,710,369
  5. Step 5: Solve for x
    x = 496,710,369/15,933
  6. Step 6: Final answer
    x = 31,174.94

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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.