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Finding the Third Proportional to 27,135 and 37,361.25

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Solution

The third proportional to 27,135 and 37,361.25 is: 51,441.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,135 : 37,361.25 = 37,361.25 : x
  2. Step 2: Convert to fraction form
    27,135/37,361.25 = 37,361.25/x
  3. Step 3: Cross multiply
    27,135x = 37,361.25 × 37,361.25
  4. Step 4: Simplify right side
    27,135x = 1,395,863,001.56
  5. Step 5: Solve for x
    x = 1,395,863,001.56/27,135
  6. Step 6: Final answer
    x = 51,441.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.