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Finding the Third Proportional to 10,016 and 15,002

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Solution

The third proportional to 10,016 and 15,002 is: 22,470.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,016 : 15,002 = 15,002 : x
  2. Step 2: Convert to fraction form
    10,016/15,002 = 15,002/x
  3. Step 3: Cross multiply
    10,016x = 15,002 × 15,002
  4. Step 4: Simplify right side
    10,016x = 225,060,004
  5. Step 5: Solve for x
    x = 225,060,004/10,016
  6. Step 6: Final answer
    x = 22,470.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.