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Finding the Third Proportional to 4,462.31 and 6,373.97

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Solution

The third proportional to 4,462.31 and 6,373.97 is: 9,104.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,462.31 : 6,373.97 = 6,373.97 : x
  2. Step 2: Convert to fraction form
    4,462.31/6,373.97 = 6,373.97/x
  3. Step 3: Cross multiply
    4,462.31x = 6,373.97 × 6,373.97
  4. Step 4: Simplify right side
    4,462.31x = 40,627,477.63
  5. Step 5: Solve for x
    x = 40,627,477.63/4,462.31
  6. Step 6: Final answer
    x = 9,104.58

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.