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Finding the Third Proportional to 22,797 and 34,908.75

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Solution

The third proportional to 22,797 and 34,908.75 is: 53,455.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,797 : 34,908.75 = 34,908.75 : x
  2. Step 2: Convert to fraction form
    22,797/34,908.75 = 34,908.75/x
  3. Step 3: Cross multiply
    22,797x = 34,908.75 × 34,908.75
  4. Step 4: Simplify right side
    22,797x = 1,218,620,826.56
  5. Step 5: Solve for x
    x = 1,218,620,826.56/22,797
  6. Step 6: Final answer
    x = 53,455.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.