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Finding the Third Proportional to 2,361.19 and 3,542.16

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Solution

The third proportional to 2,361.19 and 3,542.16 is: 5,313.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.19 : 3,542.16 = 3,542.16 : x
  2. Step 2: Convert to fraction form
    2,361.19/3,542.16 = 3,542.16/x
  3. Step 3: Cross multiply
    2,361.19x = 3,542.16 × 3,542.16
  4. Step 4: Simplify right side
    2,361.19x = 12,546,870.90
  5. Step 5: Solve for x
    x = 12,546,870.90/2,361.19
  6. Step 6: Final answer
    x = 5,313.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.