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Finding the Third Proportional to 10,233 and 12,009

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Solution

The third proportional to 10,233 and 12,009 is: 14,093.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,233 : 12,009 = 12,009 : x
  2. Step 2: Convert to fraction form
    10,233/12,009 = 12,009/x
  3. Step 3: Cross multiply
    10,233x = 12,009 × 12,009
  4. Step 4: Simplify right side
    10,233x = 144,216,081
  5. Step 5: Solve for x
    x = 144,216,081/10,233
  6. Step 6: Final answer
    x = 14,093.24

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.