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Finding the Third Proportional to 22,788 and 34,494.75

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Solution

The third proportional to 22,788 and 34,494.75 is: 52,215.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,788 : 34,494.75 = 34,494.75 : x
  2. Step 2: Convert to fraction form
    22,788/34,494.75 = 34,494.75/x
  3. Step 3: Cross multiply
    22,788x = 34,494.75 × 34,494.75
  4. Step 4: Simplify right side
    22,788x = 1,189,887,777.56
  5. Step 5: Solve for x
    x = 1,189,887,777.56/22,788
  6. Step 6: Final answer
    x = 52,215.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.