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Finding the Third Proportional to 3,670.31 and 5,351.06

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Solution

The third proportional to 3,670.31 and 5,351.06 is: 7,801.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.31 : 5,351.06 = 5,351.06 : x
  2. Step 2: Convert to fraction form
    3,670.31/5,351.06 = 5,351.06/x
  3. Step 3: Cross multiply
    3,670.31x = 5,351.06 × 5,351.06
  4. Step 4: Simplify right side
    3,670.31x = 28,633,869.88
  5. Step 5: Solve for x
    x = 28,633,869.88/3,670.31
  6. Step 6: Final answer
    x = 7,801.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.