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Finding the Third Proportional to 27,052.50 and 58,266

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Solution

The third proportional to 27,052.50 and 58,266 is: 125,494.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,052.50 : 58,266 = 58,266 : x
  2. Step 2: Convert to fraction form
    27,052.50/58,266 = 58,266/x
  3. Step 3: Cross multiply
    27,052.50x = 58,266 × 58,266
  4. Step 4: Simplify right side
    27,052.50x = 3,394,926,756
  5. Step 5: Solve for x
    x = 3,394,926,756/27,052.50
  6. Step 6: Final answer
    x = 125,494.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.