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Finding the Third Proportional to 27,709.59 and 57,389.77

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Solution

The third proportional to 27,709.59 and 57,389.77 is: 118,860.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,709.59 : 57,389.77 = 57,389.77 : x
  2. Step 2: Convert to fraction form
    27,709.59/57,389.77 = 57,389.77/x
  3. Step 3: Cross multiply
    27,709.59x = 57,389.77 × 57,389.77
  4. Step 4: Simplify right side
    27,709.59x = 3,293,585,198.49
  5. Step 5: Solve for x
    x = 3,293,585,198.49/27,709.59
  6. Step 6: Final answer
    x = 118,860.83

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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.