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Finding the Third Proportional to 5,471.75 and 13,192.13

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Solution

The third proportional to 5,471.75 and 13,192.13 is: 31,805.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.75 : 13,192.13 = 13,192.13 : x
  2. Step 2: Convert to fraction form
    5,471.75/13,192.13 = 13,192.13/x
  3. Step 3: Cross multiply
    5,471.75x = 13,192.13 × 13,192.13
  4. Step 4: Simplify right side
    5,471.75x = 174,032,162.02
  5. Step 5: Solve for x
    x = 174,032,162.02/5,471.75
  6. Step 6: Final answer
    x = 31,805.58

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.