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Finding the Third Proportional to 5,241 and 11,303

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Solution

The third proportional to 5,241 and 11,303 is: 24,376.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,241 : 11,303 = 11,303 : x
  2. Step 2: Convert to fraction form
    5,241/11,303 = 11,303/x
  3. Step 3: Cross multiply
    5,241x = 11,303 × 11,303
  4. Step 4: Simplify right side
    5,241x = 127,757,809
  5. Step 5: Solve for x
    x = 127,757,809/5,241
  6. Step 6: Final answer
    x = 24,376.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.