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Finding the Third Proportional to 3,294.50 and 7,138

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Solution

The third proportional to 3,294.50 and 7,138 is: 15,465.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.50 : 7,138 = 7,138 : x
  2. Step 2: Convert to fraction form
    3,294.50/7,138 = 7,138/x
  3. Step 3: Cross multiply
    3,294.50x = 7,138 × 7,138
  4. Step 4: Simplify right side
    3,294.50x = 50,951,044
  5. Step 5: Solve for x
    x = 50,951,044/3,294.50
  6. Step 6: Final answer
    x = 15,465.49

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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.