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Finding the Third Proportional to 23,242 and 35,081

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Solution

The third proportional to 23,242 and 35,081 is: 52,950.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,242 : 35,081 = 35,081 : x
  2. Step 2: Convert to fraction form
    23,242/35,081 = 35,081/x
  3. Step 3: Cross multiply
    23,242x = 35,081 × 35,081
  4. Step 4: Simplify right side
    23,242x = 1,230,676,561
  5. Step 5: Solve for x
    x = 1,230,676,561/23,242
  6. Step 6: Final answer
    x = 52,950.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.