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Finding the Third Proportional to 27,826.50 and 35,259

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Solution

The third proportional to 27,826.50 and 35,259 is: 44,676.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,826.50 : 35,259 = 35,259 : x
  2. Step 2: Convert to fraction form
    27,826.50/35,259 = 35,259/x
  3. Step 3: Cross multiply
    27,826.50x = 35,259 × 35,259
  4. Step 4: Simplify right side
    27,826.50x = 1,243,197,081
  5. Step 5: Solve for x
    x = 1,243,197,081/27,826.50
  6. Step 6: Final answer
    x = 44,676.73

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.