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Finding the Third Proportional to 3,410.50 and 7,397

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Solution

The third proportional to 3,410.50 and 7,397 is: 16,043.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.50 : 7,397 = 7,397 : x
  2. Step 2: Convert to fraction form
    3,410.50/7,397 = 7,397/x
  3. Step 3: Cross multiply
    3,410.50x = 7,397 × 7,397
  4. Step 4: Simplify right side
    3,410.50x = 54,715,609
  5. Step 5: Solve for x
    x = 54,715,609/3,410.50
  6. Step 6: Final answer
    x = 16,043.28

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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.