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Finding the Third Proportional to 6,965 and 14,614

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Solution

The third proportional to 6,965 and 14,614 is: 30,663.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965 : 14,614 = 14,614 : x
  2. Step 2: Convert to fraction form
    6,965/14,614 = 14,614/x
  3. Step 3: Cross multiply
    6,965x = 14,614 × 14,614
  4. Step 4: Simplify right side
    6,965x = 213,568,996
  5. Step 5: Solve for x
    x = 213,568,996/6,965
  6. Step 6: Final answer
    x = 30,663.17

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.