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Finding the Third Proportional to 4,660 and 11,470

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Solution

The third proportional to 4,660 and 11,470 is: 28,231.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660 : 11,470 = 11,470 : x
  2. Step 2: Convert to fraction form
    4,660/11,470 = 11,470/x
  3. Step 3: Cross multiply
    4,660x = 11,470 × 11,470
  4. Step 4: Simplify right side
    4,660x = 131,560,900
  5. Step 5: Solve for x
    x = 131,560,900/4,660
  6. Step 6: Final answer
    x = 28,231.95

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Why These Related Problems?

These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.