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Finding the Third Proportional to 6,958 and 10,609

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Solution

The third proportional to 6,958 and 10,609 is: 16,175.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,958 : 10,609 = 10,609 : x
  2. Step 2: Convert to fraction form
    6,958/10,609 = 10,609/x
  3. Step 3: Cross multiply
    6,958x = 10,609 × 10,609
  4. Step 4: Simplify right side
    6,958x = 112,550,881
  5. Step 5: Solve for x
    x = 112,550,881/6,958
  6. Step 6: Final answer
    x = 16,175.75

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.