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Finding the Third Proportional to 27,107.16 and 56,098.83

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Solution

The third proportional to 27,107.16 and 56,098.83 is: 116,097.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,107.16 : 56,098.83 = 56,098.83 : x
  2. Step 2: Convert to fraction form
    27,107.16/56,098.83 = 56,098.83/x
  3. Step 3: Cross multiply
    27,107.16x = 56,098.83 × 56,098.83
  4. Step 4: Simplify right side
    27,107.16x = 3,147,078,517.00
  5. Step 5: Solve for x
    x = 3,147,078,517.00/27,107.16
  6. Step 6: Final answer
    x = 116,097.70

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.