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Finding the Third Proportional to 5,200 and 7,954

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Solution

The third proportional to 5,200 and 7,954 is: 12,166.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200 : 7,954 = 7,954 : x
  2. Step 2: Convert to fraction form
    5,200/7,954 = 7,954/x
  3. Step 3: Cross multiply
    5,200x = 7,954 × 7,954
  4. Step 4: Simplify right side
    5,200x = 63,266,116
  5. Step 5: Solve for x
    x = 63,266,116/5,200
  6. Step 6: Final answer
    x = 12,166.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.