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Finding the Third Proportional to 4,318.31 and 6,477.47

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Solution

The third proportional to 4,318.31 and 6,477.47 is: 9,716.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,318.31 : 6,477.47 = 6,477.47 : x
  2. Step 2: Convert to fraction form
    4,318.31/6,477.47 = 6,477.47/x
  3. Step 3: Cross multiply
    4,318.31x = 6,477.47 × 6,477.47
  4. Step 4: Simplify right side
    4,318.31x = 41,957,601.41
  5. Step 5: Solve for x
    x = 41,957,601.41/4,318.31
  6. Step 6: Final answer
    x = 9,716.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.