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Finding the Third Proportional to 22,873.50 and 35,647.88

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Solution

The third proportional to 22,873.50 and 35,647.88 is: 55,556.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,873.50 : 35,647.88 = 35,647.88 : x
  2. Step 2: Convert to fraction form
    22,873.50/35,647.88 = 35,647.88/x
  3. Step 3: Cross multiply
    22,873.50x = 35,647.88 × 35,647.88
  4. Step 4: Simplify right side
    22,873.50x = 1,270,770,992.02
  5. Step 5: Solve for x
    x = 1,270,770,992.02/22,873.50
  6. Step 6: Final answer
    x = 55,556.47

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.