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Finding the Third Proportional to 3,892.05 and 6,196.03

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Solution

The third proportional to 3,892.05 and 6,196.03 is: 9,863.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.05 : 6,196.03 = 6,196.03 : x
  2. Step 2: Convert to fraction form
    3,892.05/6,196.03 = 6,196.03/x
  3. Step 3: Cross multiply
    3,892.05x = 6,196.03 × 6,196.03
  4. Step 4: Simplify right side
    3,892.05x = 38,390,803.25
  5. Step 5: Solve for x
    x = 38,390,803.25/3,892.05
  6. Step 6: Final answer
    x = 9,863.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.