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Finding the Third Proportional to 6,469 and 10,020.50

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Solution

The third proportional to 6,469 and 10,020.50 is: 15,521.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469 : 10,020.50 = 10,020.50 : x
  2. Step 2: Convert to fraction form
    6,469/10,020.50 = 10,020.50/x
  3. Step 3: Cross multiply
    6,469x = 10,020.50 × 10,020.50
  4. Step 4: Simplify right side
    6,469x = 100,410,420.25
  5. Step 5: Solve for x
    x = 100,410,420.25/6,469
  6. Step 6: Final answer
    x = 15,521.78

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.