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Finding the Third Proportional to 13,196.81 and 26,930.81

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Solution

The third proportional to 13,196.81 and 26,930.81 is: 54,957.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,196.81 : 26,930.81 = 26,930.81 : x
  2. Step 2: Convert to fraction form
    13,196.81/26,930.81 = 26,930.81/x
  3. Step 3: Cross multiply
    13,196.81x = 26,930.81 × 26,930.81
  4. Step 4: Simplify right side
    13,196.81x = 725,268,661.91
  5. Step 5: Solve for x
    x = 725,268,661.91/13,196.81
  6. Step 6: Final answer
    x = 54,957.87

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.