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Finding the Third Proportional to 5,266 and 6,954

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Solution

The third proportional to 5,266 and 6,954 is: 9,183.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266 : 6,954 = 6,954 : x
  2. Step 2: Convert to fraction form
    5,266/6,954 = 6,954/x
  3. Step 3: Cross multiply
    5,266x = 6,954 × 6,954
  4. Step 4: Simplify right side
    5,266x = 48,358,116
  5. Step 5: Solve for x
    x = 48,358,116/5,266
  6. Step 6: Final answer
    x = 9,183.08

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.