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Finding the Third Proportional to 2,190.38 and 4,808.53

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Solution

The third proportional to 2,190.38 and 4,808.53 is: 10,556.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.38 : 4,808.53 = 4,808.53 : x
  2. Step 2: Convert to fraction form
    2,190.38/4,808.53 = 4,808.53/x
  3. Step 3: Cross multiply
    2,190.38x = 4,808.53 × 4,808.53
  4. Step 4: Simplify right side
    2,190.38x = 23,121,972.78
  5. Step 5: Solve for x
    x = 23,121,972.78/2,190.38
  6. Step 6: Final answer
    x = 10,556.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.