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Finding the Third Proportional to 22,383.75 and 48,270.75

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Solution

The third proportional to 22,383.75 and 48,270.75 is: 104,096.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,383.75 : 48,270.75 = 48,270.75 : x
  2. Step 2: Convert to fraction form
    22,383.75/48,270.75 = 48,270.75/x
  3. Step 3: Cross multiply
    22,383.75x = 48,270.75 × 48,270.75
  4. Step 4: Simplify right side
    22,383.75x = 2,330,065,305.56
  5. Step 5: Solve for x
    x = 2,330,065,305.56/22,383.75
  6. Step 6: Final answer
    x = 104,096.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.