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Finding the Third Proportional to 3,717.84 and 5,473.97

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Solution

The third proportional to 3,717.84 and 5,473.97 is: 8,059.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,717.84 : 5,473.97 = 5,473.97 : x
  2. Step 2: Convert to fraction form
    3,717.84/5,473.97 = 5,473.97/x
  3. Step 3: Cross multiply
    3,717.84x = 5,473.97 × 5,473.97
  4. Step 4: Simplify right side
    3,717.84x = 29,964,333.88
  5. Step 5: Solve for x
    x = 29,964,333.88/3,717.84
  6. Step 6: Final answer
    x = 8,059.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.