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Finding the Third Proportional to 5,110.59 and 11,381.34

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Solution

The third proportional to 5,110.59 and 11,381.34 is: 25,346.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,110.59 : 11,381.34 = 11,381.34 : x
  2. Step 2: Convert to fraction form
    5,110.59/11,381.34 = 11,381.34/x
  3. Step 3: Cross multiply
    5,110.59x = 11,381.34 × 11,381.34
  4. Step 4: Simplify right side
    5,110.59x = 129,534,985.56
  5. Step 5: Solve for x
    x = 129,534,985.56/5,110.59
  6. Step 6: Final answer
    x = 25,346.37

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.