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Finding the Third Proportional to 27,291.94 and 57,180.94

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Solution

The third proportional to 27,291.94 and 57,180.94 is: 119,803.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,291.94 : 57,180.94 = 57,180.94 : x
  2. Step 2: Convert to fraction form
    27,291.94/57,180.94 = 57,180.94/x
  3. Step 3: Cross multiply
    27,291.94x = 57,180.94 × 57,180.94
  4. Step 4: Simplify right side
    27,291.94x = 3,269,659,613.38
  5. Step 5: Solve for x
    x = 3,269,659,613.38/27,291.94
  6. Step 6: Final answer
    x = 119,803.13

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.