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Finding the Third Proportional to 5,584 and 11,546

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Solution

The third proportional to 5,584 and 11,546 is: 23,873.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584 : 11,546 = 11,546 : x
  2. Step 2: Convert to fraction form
    5,584/11,546 = 11,546/x
  3. Step 3: Cross multiply
    5,584x = 11,546 × 11,546
  4. Step 4: Simplify right side
    5,584x = 133,310,116
  5. Step 5: Solve for x
    x = 133,310,116/5,584
  6. Step 6: Final answer
    x = 23,873.59

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.