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Finding the Third Proportional to 6,155.16 and 13,079.81

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Solution

The third proportional to 6,155.16 and 13,079.81 is: 27,794.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,155.16 : 13,079.81 = 13,079.81 : x
  2. Step 2: Convert to fraction form
    6,155.16/13,079.81 = 13,079.81/x
  3. Step 3: Cross multiply
    6,155.16x = 13,079.81 × 13,079.81
  4. Step 4: Simplify right side
    6,155.16x = 171,081,495.04
  5. Step 5: Solve for x
    x = 171,081,495.04/6,155.16
  6. Step 6: Final answer
    x = 27,794.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.