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Finding the Third Proportional to 23,672.25 and 52,035.75

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Solution

The third proportional to 23,672.25 and 52,035.75 is: 114,383.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,672.25 : 52,035.75 = 52,035.75 : x
  2. Step 2: Convert to fraction form
    23,672.25/52,035.75 = 52,035.75/x
  3. Step 3: Cross multiply
    23,672.25x = 52,035.75 × 52,035.75
  4. Step 4: Simplify right side
    23,672.25x = 2,707,719,278.06
  5. Step 5: Solve for x
    x = 2,707,719,278.06/23,672.25
  6. Step 6: Final answer
    x = 114,383.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.