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Finding the Third Proportional to 4,364 and 7,086

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Solution

The third proportional to 4,364 and 7,086 is: 11,505.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,364 : 7,086 = 7,086 : x
  2. Step 2: Convert to fraction form
    4,364/7,086 = 7,086/x
  3. Step 3: Cross multiply
    4,364x = 7,086 × 7,086
  4. Step 4: Simplify right side
    4,364x = 50,211,396
  5. Step 5: Solve for x
    x = 50,211,396/4,364
  6. Step 6: Final answer
    x = 11,505.82

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.