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Finding the Third Proportional to 6,496.14 and 14,006.36

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Solution

The third proportional to 6,496.14 and 14,006.36 is: 30,199.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.14 : 14,006.36 = 14,006.36 : x
  2. Step 2: Convert to fraction form
    6,496.14/14,006.36 = 14,006.36/x
  3. Step 3: Cross multiply
    6,496.14x = 14,006.36 × 14,006.36
  4. Step 4: Simplify right side
    6,496.14x = 196,177,993.52
  5. Step 5: Solve for x
    x = 196,177,993.52/6,496.14
  6. Step 6: Final answer
    x = 30,199.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.