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Finding the Third Proportional to 5,865 and 13,833

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Solution

The third proportional to 5,865 and 13,833 is: 32,626.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,865 : 13,833 = 13,833 : x
  2. Step 2: Convert to fraction form
    5,865/13,833 = 13,833/x
  3. Step 3: Cross multiply
    5,865x = 13,833 × 13,833
  4. Step 4: Simplify right side
    5,865x = 191,351,889
  5. Step 5: Solve for x
    x = 191,351,889/5,865
  6. Step 6: Final answer
    x = 32,626.07

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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.