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Finding the Third Proportional to 3,530.53 and 7,676.16

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Solution

The third proportional to 3,530.53 and 7,676.16 is: 16,689.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.53 : 7,676.16 = 7,676.16 : x
  2. Step 2: Convert to fraction form
    3,530.53/7,676.16 = 7,676.16/x
  3. Step 3: Cross multiply
    3,530.53x = 7,676.16 × 7,676.16
  4. Step 4: Simplify right side
    3,530.53x = 58,923,374.77
  5. Step 5: Solve for x
    x = 58,923,374.77/3,530.53
  6. Step 6: Final answer
    x = 16,689.66

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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.