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Finding the Third Proportional to 6,496.88 and 9,603.56

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Solution

The third proportional to 6,496.88 and 9,603.56 is: 14,195.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.88 : 9,603.56 = 9,603.56 : x
  2. Step 2: Convert to fraction form
    6,496.88/9,603.56 = 9,603.56/x
  3. Step 3: Cross multiply
    6,496.88x = 9,603.56 × 9,603.56
  4. Step 4: Simplify right side
    6,496.88x = 92,228,412.69
  5. Step 5: Solve for x
    x = 92,228,412.69/6,496.88
  6. Step 6: Final answer
    x = 14,195.81

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.