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Finding the Third Proportional to 7,704.28 and 16,613.44

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Solution

The third proportional to 7,704.28 and 16,613.44 is: 35,825.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.28 : 16,613.44 = 16,613.44 : x
  2. Step 2: Convert to fraction form
    7,704.28/16,613.44 = 16,613.44/x
  3. Step 3: Cross multiply
    7,704.28x = 16,613.44 × 16,613.44
  4. Step 4: Simplify right side
    7,704.28x = 276,006,305.57
  5. Step 5: Solve for x
    x = 276,006,305.57/7,704.28
  6. Step 6: Final answer
    x = 35,825.06

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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.