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Finding the Third Proportional to 3,515.91 and 7,616.53

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Solution

The third proportional to 3,515.91 and 7,616.53 is: 16,499.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,515.91 : 7,616.53 = 7,616.53 : x
  2. Step 2: Convert to fraction form
    3,515.91/7,616.53 = 7,616.53/x
  3. Step 3: Cross multiply
    3,515.91x = 7,616.53 × 7,616.53
  4. Step 4: Simplify right side
    3,515.91x = 58,011,548.28
  5. Step 5: Solve for x
    x = 58,011,548.28/3,515.91
  6. Step 6: Final answer
    x = 16,499.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.