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Finding the Third Proportional to 3,670.31 and 5,383.97

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Solution

The third proportional to 3,670.31 and 5,383.97 is: 7,897.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.31 : 5,383.97 = 5,383.97 : x
  2. Step 2: Convert to fraction form
    3,670.31/5,383.97 = 5,383.97/x
  3. Step 3: Cross multiply
    3,670.31x = 5,383.97 × 5,383.97
  4. Step 4: Simplify right side
    3,670.31x = 28,987,119.50
  5. Step 5: Solve for x
    x = 28,987,119.50/3,670.31
  6. Step 6: Final answer
    x = 7,897.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.