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Finding the Third Proportional to 6,955 and 10,189

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Solution

The third proportional to 6,955 and 10,189 is: 14,926.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,955 : 10,189 = 10,189 : x
  2. Step 2: Convert to fraction form
    6,955/10,189 = 10,189/x
  3. Step 3: Cross multiply
    6,955x = 10,189 × 10,189
  4. Step 4: Simplify right side
    6,955x = 103,815,721
  5. Step 5: Solve for x
    x = 103,815,721/6,955
  6. Step 6: Final answer
    x = 14,926.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.