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Finding the Third Proportional to 27,120 and 36,952

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Solution

The third proportional to 27,120 and 36,952 is: 50,348.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,120 : 36,952 = 36,952 : x
  2. Step 2: Convert to fraction form
    27,120/36,952 = 36,952/x
  3. Step 3: Cross multiply
    27,120x = 36,952 × 36,952
  4. Step 4: Simplify right side
    27,120x = 1,365,450,304
  5. Step 5: Solve for x
    x = 1,365,450,304/27,120
  6. Step 6: Final answer
    x = 50,348.46

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.