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Finding the Third Proportional to 3,504.38 and 7,527.38

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Solution

The third proportional to 3,504.38 and 7,527.38 is: 16,168.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504.38 : 7,527.38 = 7,527.38 : x
  2. Step 2: Convert to fraction form
    3,504.38/7,527.38 = 7,527.38/x
  3. Step 3: Cross multiply
    3,504.38x = 7,527.38 × 7,527.38
  4. Step 4: Simplify right side
    3,504.38x = 56,661,374.39
  5. Step 5: Solve for x
    x = 56,661,374.39/3,504.38
  6. Step 6: Final answer
    x = 16,168.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.