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Finding the Third Proportional to 15,403 and 22,027

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Solution

The third proportional to 15,403 and 22,027 is: 31,499.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,403 : 22,027 = 22,027 : x
  2. Step 2: Convert to fraction form
    15,403/22,027 = 22,027/x
  3. Step 3: Cross multiply
    15,403x = 22,027 × 22,027
  4. Step 4: Simplify right side
    15,403x = 485,188,729
  5. Step 5: Solve for x
    x = 485,188,729/15,403
  6. Step 6: Final answer
    x = 31,499.63

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.