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Finding the Third Proportional to 11,470 and 15,126

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Solution

The third proportional to 11,470 and 15,126 is: 19,947.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,470 : 15,126 = 15,126 : x
  2. Step 2: Convert to fraction form
    11,470/15,126 = 15,126/x
  3. Step 3: Cross multiply
    11,470x = 15,126 × 15,126
  4. Step 4: Simplify right side
    11,470x = 228,795,876
  5. Step 5: Solve for x
    x = 228,795,876/11,470
  6. Step 6: Final answer
    x = 19,947.33

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.