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Finding the Third Proportional to 5,732 and 11,224

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Solution

The third proportional to 5,732 and 11,224 is: 21,978.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732 : 11,224 = 11,224 : x
  2. Step 2: Convert to fraction form
    5,732/11,224 = 11,224/x
  3. Step 3: Cross multiply
    5,732x = 11,224 × 11,224
  4. Step 4: Simplify right side
    5,732x = 125,978,176
  5. Step 5: Solve for x
    x = 125,978,176/5,732
  6. Step 6: Final answer
    x = 21,978.05

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.