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Finding the Third Proportional to 5,194.13 and 13,511.81

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Solution

The third proportional to 5,194.13 and 13,511.81 is: 35,149.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.13 : 13,511.81 = 13,511.81 : x
  2. Step 2: Convert to fraction form
    5,194.13/13,511.81 = 13,511.81/x
  3. Step 3: Cross multiply
    5,194.13x = 13,511.81 × 13,511.81
  4. Step 4: Simplify right side
    5,194.13x = 182,569,077.04
  5. Step 5: Solve for x
    x = 182,569,077.04/5,194.13
  6. Step 6: Final answer
    x = 35,149.15

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.