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Finding the Third Proportional to 6,661.25 and 10,009

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Solution

The third proportional to 6,661.25 and 10,009 is: 15,039.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,661.25 : 10,009 = 10,009 : x
  2. Step 2: Convert to fraction form
    6,661.25/10,009 = 10,009/x
  3. Step 3: Cross multiply
    6,661.25x = 10,009 × 10,009
  4. Step 4: Simplify right side
    6,661.25x = 100,180,081
  5. Step 5: Solve for x
    x = 100,180,081/6,661.25
  6. Step 6: Final answer
    x = 15,039.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.