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Finding the Third Proportional to 27,729.84 and 60,107.06

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Solution

The third proportional to 27,729.84 and 60,107.06 is: 130,287.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,729.84 : 60,107.06 = 60,107.06 : x
  2. Step 2: Convert to fraction form
    27,729.84/60,107.06 = 60,107.06/x
  3. Step 3: Cross multiply
    27,729.84x = 60,107.06 × 60,107.06
  4. Step 4: Simplify right side
    27,729.84x = 3,612,858,962.38
  5. Step 5: Solve for x
    x = 3,612,858,962.38/27,729.84
  6. Step 6: Final answer
    x = 130,287.75

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.