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Finding the Third Proportional to 5,858 and 13,828

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Solution

The third proportional to 5,858 and 13,828 is: 32,641.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,858 : 13,828 = 13,828 : x
  2. Step 2: Convert to fraction form
    5,858/13,828 = 13,828/x
  3. Step 3: Cross multiply
    5,858x = 13,828 × 13,828
  4. Step 4: Simplify right side
    5,858x = 191,213,584
  5. Step 5: Solve for x
    x = 191,213,584/5,858
  6. Step 6: Final answer
    x = 32,641.44

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.