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Finding the Third Proportional to 4,474.41 and 6,829.31

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Solution

The third proportional to 4,474.41 and 6,829.31 is: 10,423.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,474.41 : 6,829.31 = 6,829.31 : x
  2. Step 2: Convert to fraction form
    4,474.41/6,829.31 = 6,829.31/x
  3. Step 3: Cross multiply
    4,474.41x = 6,829.31 × 6,829.31
  4. Step 4: Simplify right side
    4,474.41x = 46,639,509.22
  5. Step 5: Solve for x
    x = 46,639,509.22/4,474.41
  6. Step 6: Final answer
    x = 10,423.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.