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Finding the Third Proportional to 3,705.75 and 10,047.38

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Solution

The third proportional to 3,705.75 and 10,047.38 is: 27,241.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.75 : 10,047.38 = 10,047.38 : x
  2. Step 2: Convert to fraction form
    3,705.75/10,047.38 = 10,047.38/x
  3. Step 3: Cross multiply
    3,705.75x = 10,047.38 × 10,047.38
  4. Step 4: Simplify right side
    3,705.75x = 100,949,744.39
  5. Step 5: Solve for x
    x = 100,949,744.39/3,705.75
  6. Step 6: Final answer
    x = 27,241.38

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.