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Finding the Third Proportional to 3,904.14 and 8,261.05

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Solution

The third proportional to 3,904.14 and 8,261.05 is: 17,480.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,904.14 : 8,261.05 = 8,261.05 : x
  2. Step 2: Convert to fraction form
    3,904.14/8,261.05 = 8,261.05/x
  3. Step 3: Cross multiply
    3,904.14x = 8,261.05 × 8,261.05
  4. Step 4: Simplify right side
    3,904.14x = 68,244,960.01
  5. Step 5: Solve for x
    x = 68,244,960.01/3,904.14
  6. Step 6: Final answer
    x = 17,480.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.