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Finding the Third Proportional to 7,027 and 16,003

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Solution

The third proportional to 7,027 and 16,003 is: 36,444.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,027 : 16,003 = 16,003 : x
  2. Step 2: Convert to fraction form
    7,027/16,003 = 16,003/x
  3. Step 3: Cross multiply
    7,027x = 16,003 × 16,003
  4. Step 4: Simplify right side
    7,027x = 256,096,009
  5. Step 5: Solve for x
    x = 256,096,009/7,027
  6. Step 6: Final answer
    x = 36,444.57

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.