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Finding the Third Proportional to 2,473.09 and 5,037.66

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Solution

The third proportional to 2,473.09 and 5,037.66 is: 10,261.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.09 : 5,037.66 = 5,037.66 : x
  2. Step 2: Convert to fraction form
    2,473.09/5,037.66 = 5,037.66/x
  3. Step 3: Cross multiply
    2,473.09x = 5,037.66 × 5,037.66
  4. Step 4: Simplify right side
    2,473.09x = 25,377,980.49
  5. Step 5: Solve for x
    x = 25,377,980.49/2,473.09
  6. Step 6: Final answer
    x = 10,261.63

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.