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Finding the Third Proportional to 3,412 and 7,013

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Solution

The third proportional to 3,412 and 7,013 is: 14,414.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412 : 7,013 = 7,013 : x
  2. Step 2: Convert to fraction form
    3,412/7,013 = 7,013/x
  3. Step 3: Cross multiply
    3,412x = 7,013 × 7,013
  4. Step 4: Simplify right side
    3,412x = 49,182,169
  5. Step 5: Solve for x
    x = 49,182,169/3,412
  6. Step 6: Final answer
    x = 14,414.47

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.