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Finding the Third Proportional to 3,676.32 and 7,548.19

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Solution

The third proportional to 3,676.32 and 7,548.19 is: 15,497.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.32 : 7,548.19 = 7,548.19 : x
  2. Step 2: Convert to fraction form
    3,676.32/7,548.19 = 7,548.19/x
  3. Step 3: Cross multiply
    3,676.32x = 7,548.19 × 7,548.19
  4. Step 4: Simplify right side
    3,676.32x = 56,975,134.54
  5. Step 5: Solve for x
    x = 56,975,134.54/3,676.32
  6. Step 6: Final answer
    x = 15,497.85

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.