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Finding the Third Proportional to 5,982.21 and 12,750.38

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Solution

The third proportional to 5,982.21 and 12,750.38 is: 27,175.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,982.21 : 12,750.38 = 12,750.38 : x
  2. Step 2: Convert to fraction form
    5,982.21/12,750.38 = 12,750.38/x
  3. Step 3: Cross multiply
    5,982.21x = 12,750.38 × 12,750.38
  4. Step 4: Simplify right side
    5,982.21x = 162,572,212.06
  5. Step 5: Solve for x
    x = 162,572,212.06/5,982.21
  6. Step 6: Final answer
    x = 27,175.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.