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Finding the Third Proportional to 5,009 and 11,612

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Solution

The third proportional to 5,009 and 11,612 is: 26,919.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,009 : 11,612 = 11,612 : x
  2. Step 2: Convert to fraction form
    5,009/11,612 = 11,612/x
  3. Step 3: Cross multiply
    5,009x = 11,612 × 11,612
  4. Step 4: Simplify right side
    5,009x = 134,838,544
  5. Step 5: Solve for x
    x = 134,838,544/5,009
  6. Step 6: Final answer
    x = 26,919.25

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.