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Finding the Third Proportional to 3,049 and 6,530

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Solution

The third proportional to 3,049 and 6,530 is: 13,985.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049 : 6,530 = 6,530 : x
  2. Step 2: Convert to fraction form
    3,049/6,530 = 6,530/x
  3. Step 3: Cross multiply
    3,049x = 6,530 × 6,530
  4. Step 4: Simplify right side
    3,049x = 42,640,900
  5. Step 5: Solve for x
    x = 42,640,900/3,049
  6. Step 6: Final answer
    x = 13,985.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.