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Finding the Third Proportional to 6,496.50 and 15,327.38

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Solution

The third proportional to 6,496.50 and 15,327.38 is: 36,162.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.50 : 15,327.38 = 15,327.38 : x
  2. Step 2: Convert to fraction form
    6,496.50/15,327.38 = 15,327.38/x
  3. Step 3: Cross multiply
    6,496.50x = 15,327.38 × 15,327.38
  4. Step 4: Simplify right side
    6,496.50x = 234,928,424.39
  5. Step 5: Solve for x
    x = 234,928,424.39/6,496.50
  6. Step 6: Final answer
    x = 36,162.31

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.