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Finding the Third Proportional to 2,061.56 and 3,190.78

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Solution

The third proportional to 2,061.56 and 3,190.78 is: 4,938.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.56 : 3,190.78 = 3,190.78 : x
  2. Step 2: Convert to fraction form
    2,061.56/3,190.78 = 3,190.78/x
  3. Step 3: Cross multiply
    2,061.56x = 3,190.78 × 3,190.78
  4. Step 4: Simplify right side
    2,061.56x = 10,181,084.99
  5. Step 5: Solve for x
    x = 10,181,084.99/2,061.56
  6. Step 6: Final answer
    x = 4,938.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.