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Finding the Third Proportional to 6,451.37 and 9,428.12

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Solution

The third proportional to 6,451.37 and 9,428.12 is: 13,778.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.37 : 9,428.12 = 9,428.12 : x
  2. Step 2: Convert to fraction form
    6,451.37/9,428.12 = 9,428.12/x
  3. Step 3: Cross multiply
    6,451.37x = 9,428.12 × 9,428.12
  4. Step 4: Simplify right side
    6,451.37x = 88,889,356.87
  5. Step 5: Solve for x
    x = 88,889,356.87/6,451.37
  6. Step 6: Final answer
    x = 13,778.38

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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.