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Finding the Third Proportional to 8,035 and 12,009

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Solution

The third proportional to 8,035 and 12,009 is: 17,948.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,035 : 12,009 = 12,009 : x
  2. Step 2: Convert to fraction form
    8,035/12,009 = 12,009/x
  3. Step 3: Cross multiply
    8,035x = 12,009 × 12,009
  4. Step 4: Simplify right side
    8,035x = 144,216,081
  5. Step 5: Solve for x
    x = 144,216,081/8,035
  6. Step 6: Final answer
    x = 17,948.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.