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Finding the Third Proportional to 3,753.84 and 5,097.94

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Solution

The third proportional to 3,753.84 and 5,097.94 is: 6,923.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.84 : 5,097.94 = 5,097.94 : x
  2. Step 2: Convert to fraction form
    3,753.84/5,097.94 = 5,097.94/x
  3. Step 3: Cross multiply
    3,753.84x = 5,097.94 × 5,097.94
  4. Step 4: Simplify right side
    3,753.84x = 25,988,966.75
  5. Step 5: Solve for x
    x = 25,988,966.75/3,753.84
  6. Step 6: Final answer
    x = 6,923.29

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.