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Finding the Third Proportional to 23,424.75 and 35,723.25

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Solution

The third proportional to 23,424.75 and 35,723.25 is: 54,478.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,424.75 : 35,723.25 = 35,723.25 : x
  2. Step 2: Convert to fraction form
    23,424.75/35,723.25 = 35,723.25/x
  3. Step 3: Cross multiply
    23,424.75x = 35,723.25 × 35,723.25
  4. Step 4: Simplify right side
    23,424.75x = 1,276,150,590.56
  5. Step 5: Solve for x
    x = 1,276,150,590.56/23,424.75
  6. Step 6: Final answer
    x = 54,478.73

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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.