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Finding the Third Proportional to 23,743.13 and 35,999.44

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Solution

The third proportional to 23,743.13 and 35,999.44 is: 54,582.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,743.13 : 35,999.44 = 35,999.44 : x
  2. Step 2: Convert to fraction form
    23,743.13/35,999.44 = 35,999.44/x
  3. Step 3: Cross multiply
    23,743.13x = 35,999.44 × 35,999.44
  4. Step 4: Simplify right side
    23,743.13x = 1,295,959,500.32
  5. Step 5: Solve for x
    x = 1,295,959,500.32/23,743.13
  6. Step 6: Final answer
    x = 54,582.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.