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Finding the Third Proportional to 5,997.38 and 13,942.13

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Solution

The third proportional to 5,997.38 and 13,942.13 is: 32,411.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,997.38 : 13,942.13 = 13,942.13 : x
  2. Step 2: Convert to fraction form
    5,997.38/13,942.13 = 13,942.13/x
  3. Step 3: Cross multiply
    5,997.38x = 13,942.13 × 13,942.13
  4. Step 4: Simplify right side
    5,997.38x = 194,382,849.52
  5. Step 5: Solve for x
    x = 194,382,849.52/5,997.38
  6. Step 6: Final answer
    x = 32,411.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.