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Finding the Third Proportional to 3,656.39 and 7,808.27

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Solution

The third proportional to 3,656.39 and 7,808.27 is: 16,674.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.39 : 7,808.27 = 7,808.27 : x
  2. Step 2: Convert to fraction form
    3,656.39/7,808.27 = 7,808.27/x
  3. Step 3: Cross multiply
    3,656.39x = 7,808.27 × 7,808.27
  4. Step 4: Simplify right side
    3,656.39x = 60,969,134.07
  5. Step 5: Solve for x
    x = 60,969,134.07/3,656.39
  6. Step 6: Final answer
    x = 16,674.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.