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Finding the Third Proportional to 23,662 and 35,331

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Solution

The third proportional to 23,662 and 35,331 is: 52,754.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,662 : 35,331 = 35,331 : x
  2. Step 2: Convert to fraction form
    23,662/35,331 = 35,331/x
  3. Step 3: Cross multiply
    23,662x = 35,331 × 35,331
  4. Step 4: Simplify right side
    23,662x = 1,248,279,561
  5. Step 5: Solve for x
    x = 1,248,279,561/23,662
  6. Step 6: Final answer
    x = 52,754.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.