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Finding the Third Proportional to 6,544.98 and 9,253.64

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Solution

The third proportional to 6,544.98 and 9,253.64 is: 13,083.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.98 : 9,253.64 = 9,253.64 : x
  2. Step 2: Convert to fraction form
    6,544.98/9,253.64 = 9,253.64/x
  3. Step 3: Cross multiply
    6,544.98x = 9,253.64 × 9,253.64
  4. Step 4: Simplify right side
    6,544.98x = 85,629,797.04
  5. Step 5: Solve for x
    x = 85,629,797.04/6,544.98
  6. Step 6: Final answer
    x = 13,083.27

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.