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Finding the Third Proportional to 6,474 and 15,006

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Solution

The third proportional to 6,474 and 15,006 is: 34,782.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474 : 15,006 = 15,006 : x
  2. Step 2: Convert to fraction form
    6,474/15,006 = 15,006/x
  3. Step 3: Cross multiply
    6,474x = 15,006 × 15,006
  4. Step 4: Simplify right side
    6,474x = 225,180,036
  5. Step 5: Solve for x
    x = 225,180,036/6,474
  6. Step 6: Final answer
    x = 34,782.21

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.