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Finding the Third Proportional to 5,122.59 and 11,261.34

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Solution

The third proportional to 5,122.59 and 11,261.34 is: 24,756.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.59 : 11,261.34 = 11,261.34 : x
  2. Step 2: Convert to fraction form
    5,122.59/11,261.34 = 11,261.34/x
  3. Step 3: Cross multiply
    5,122.59x = 11,261.34 × 11,261.34
  4. Step 4: Simplify right side
    5,122.59x = 126,817,863.06
  5. Step 5: Solve for x
    x = 126,817,863.06/5,122.59
  6. Step 6: Final answer
    x = 24,756.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.