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Finding the Third Proportional to 6,640.73 and 10,137.66

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Solution

The third proportional to 6,640.73 and 10,137.66 is: 15,476.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,640.73 : 10,137.66 = 10,137.66 : x
  2. Step 2: Convert to fraction form
    6,640.73/10,137.66 = 10,137.66/x
  3. Step 3: Cross multiply
    6,640.73x = 10,137.66 × 10,137.66
  4. Step 4: Simplify right side
    6,640.73x = 102,772,074.24
  5. Step 5: Solve for x
    x = 102,772,074.24/6,640.73
  6. Step 6: Final answer
    x = 15,476.01

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.