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Finding the Third Proportional to 15,006 and 31,422

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Solution

The third proportional to 15,006 and 31,422 is: 65,796.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,006 : 31,422 = 31,422 : x
  2. Step 2: Convert to fraction form
    15,006/31,422 = 31,422/x
  3. Step 3: Cross multiply
    15,006x = 31,422 × 31,422
  4. Step 4: Simplify right side
    15,006x = 987,342,084
  5. Step 5: Solve for x
    x = 987,342,084/15,006
  6. Step 6: Final answer
    x = 65,796.49

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.