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Finding the Third Proportional to 27,926.50 and 57,797

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Solution

The third proportional to 27,926.50 and 57,797 is: 119,617.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,926.50 : 57,797 = 57,797 : x
  2. Step 2: Convert to fraction form
    27,926.50/57,797 = 57,797/x
  3. Step 3: Cross multiply
    27,926.50x = 57,797 × 57,797
  4. Step 4: Simplify right side
    27,926.50x = 3,340,493,209
  5. Step 5: Solve for x
    x = 3,340,493,209/27,926.50
  6. Step 6: Final answer
    x = 119,617.32

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.