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Finding the Third Proportional to 17,013.38 and 27,313.88

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Solution

The third proportional to 17,013.38 and 27,313.88 is: 43,850.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,013.38 : 27,313.88 = 27,313.88 : x
  2. Step 2: Convert to fraction form
    17,013.38/27,313.88 = 27,313.88/x
  3. Step 3: Cross multiply
    17,013.38x = 27,313.88 × 27,313.88
  4. Step 4: Simplify right side
    17,013.38x = 746,047,767.52
  5. Step 5: Solve for x
    x = 746,047,767.52/17,013.38
  6. Step 6: Final answer
    x = 43,850.66

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.