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Finding the Third Proportional to 6,299.50 and 13,733

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Solution

The third proportional to 6,299.50 and 13,733 is: 29,938.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.50 : 13,733 = 13,733 : x
  2. Step 2: Convert to fraction form
    6,299.50/13,733 = 13,733/x
  3. Step 3: Cross multiply
    6,299.50x = 13,733 × 13,733
  4. Step 4: Simplify right side
    6,299.50x = 188,595,289
  5. Step 5: Solve for x
    x = 188,595,289/6,299.50
  6. Step 6: Final answer
    x = 29,938.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.