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Finding the Third Proportional to 6,883.50 and 15,199.50

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Solution

The third proportional to 6,883.50 and 15,199.50 is: 33,562.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,883.50 : 15,199.50 = 15,199.50 : x
  2. Step 2: Convert to fraction form
    6,883.50/15,199.50 = 15,199.50/x
  3. Step 3: Cross multiply
    6,883.50x = 15,199.50 × 15,199.50
  4. Step 4: Simplify right side
    6,883.50x = 231,024,800.25
  5. Step 5: Solve for x
    x = 231,024,800.25/6,883.50
  6. Step 6: Final answer
    x = 33,562.11

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.