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Finding the Third Proportional to 23,442.75 and 33,581.25

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Solution

The third proportional to 23,442.75 and 33,581.25 is: 48,104.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,442.75 : 33,581.25 = 33,581.25 : x
  2. Step 2: Convert to fraction form
    23,442.75/33,581.25 = 33,581.25/x
  3. Step 3: Cross multiply
    23,442.75x = 33,581.25 × 33,581.25
  4. Step 4: Simplify right side
    23,442.75x = 1,127,700,351.56
  5. Step 5: Solve for x
    x = 1,127,700,351.56/23,442.75
  6. Step 6: Final answer
    x = 48,104.44

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.