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Finding the Third Proportional to 5,902 and 11,648

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Solution

The third proportional to 5,902 and 11,648 is: 22,988.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902 : 11,648 = 11,648 : x
  2. Step 2: Convert to fraction form
    5,902/11,648 = 11,648/x
  3. Step 3: Cross multiply
    5,902x = 11,648 × 11,648
  4. Step 4: Simplify right side
    5,902x = 135,675,904
  5. Step 5: Solve for x
    x = 135,675,904/5,902
  6. Step 6: Final answer
    x = 22,988.12

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.