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Finding the Third Proportional to 6,653.25 and 10,007.44

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Solution

The third proportional to 6,653.25 and 10,007.44 is: 15,052.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,653.25 : 10,007.44 = 10,007.44 : x
  2. Step 2: Convert to fraction form
    6,653.25/10,007.44 = 10,007.44/x
  3. Step 3: Cross multiply
    6,653.25x = 10,007.44 × 10,007.44
  4. Step 4: Simplify right side
    6,653.25x = 100,148,805.32
  5. Step 5: Solve for x
    x = 100,148,805.32/6,653.25
  6. Step 6: Final answer
    x = 15,052.61

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Why These Related Problems?

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