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Finding the Third Proportional to 10,395 and 12,003

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Solution

The third proportional to 10,395 and 12,003 is: 13,859.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,395 : 12,003 = 12,003 : x
  2. Step 2: Convert to fraction form
    10,395/12,003 = 12,003/x
  3. Step 3: Cross multiply
    10,395x = 12,003 × 12,003
  4. Step 4: Simplify right side
    10,395x = 144,072,009
  5. Step 5: Solve for x
    x = 144,072,009/10,395
  6. Step 6: Final answer
    x = 13,859.74

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.