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Finding the Third Proportional to 6,104.11 and 13,232.53

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Solution

The third proportional to 6,104.11 and 13,232.53 is: 28,685.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,104.11 : 13,232.53 = 13,232.53 : x
  2. Step 2: Convert to fraction form
    6,104.11/13,232.53 = 13,232.53/x
  3. Step 3: Cross multiply
    6,104.11x = 13,232.53 × 13,232.53
  4. Step 4: Simplify right side
    6,104.11x = 175,099,883.28
  5. Step 5: Solve for x
    x = 175,099,883.28/6,104.11
  6. Step 6: Final answer
    x = 28,685.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.