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Finding the Third Proportional to 1,549.78 and 2,361.09

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Solution

The third proportional to 1,549.78 and 2,361.09 is: 3,597.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.78 : 2,361.09 = 2,361.09 : x
  2. Step 2: Convert to fraction form
    1,549.78/2,361.09 = 2,361.09/x
  3. Step 3: Cross multiply
    1,549.78x = 2,361.09 × 2,361.09
  4. Step 4: Simplify right side
    1,549.78x = 5,574,763.70
  5. Step 5: Solve for x
    x = 5,574,763.70/1,549.78
  6. Step 6: Final answer
    x = 3,597.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.