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Finding the Third Proportional to 6,233 and 13,639.50

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Solution

The third proportional to 6,233 and 13,639.50 is: 29,846.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,233 : 13,639.50 = 13,639.50 : x
  2. Step 2: Convert to fraction form
    6,233/13,639.50 = 13,639.50/x
  3. Step 3: Cross multiply
    6,233x = 13,639.50 × 13,639.50
  4. Step 4: Simplify right side
    6,233x = 186,035,960.25
  5. Step 5: Solve for x
    x = 186,035,960.25/6,233
  6. Step 6: Final answer
    x = 29,846.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.