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Finding the Third Proportional to 5,902 and 12,911

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Solution

The third proportional to 5,902 and 12,911 is: 28,243.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902 : 12,911 = 12,911 : x
  2. Step 2: Convert to fraction form
    5,902/12,911 = 12,911/x
  3. Step 3: Cross multiply
    5,902x = 12,911 × 12,911
  4. Step 4: Simplify right side
    5,902x = 166,693,921
  5. Step 5: Solve for x
    x = 166,693,921/5,902
  6. Step 6: Final answer
    x = 28,243.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.