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Finding the Third Proportional to 6,135.22 and 13,356.81

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Solution

The third proportional to 6,135.22 and 13,356.81 is: 29,078.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,135.22 : 13,356.81 = 13,356.81 : x
  2. Step 2: Convert to fraction form
    6,135.22/13,356.81 = 13,356.81/x
  3. Step 3: Cross multiply
    6,135.22x = 13,356.81 × 13,356.81
  4. Step 4: Simplify right side
    6,135.22x = 178,404,335.81
  5. Step 5: Solve for x
    x = 178,404,335.81/6,135.22
  6. Step 6: Final answer
    x = 29,078.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.