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Finding the Third Proportional to 23,478 and 35,223

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Solution

The third proportional to 23,478 and 35,223 is: 52,843.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,478 : 35,223 = 35,223 : x
  2. Step 2: Convert to fraction form
    23,478/35,223 = 35,223/x
  3. Step 3: Cross multiply
    23,478x = 35,223 × 35,223
  4. Step 4: Simplify right side
    23,478x = 1,240,659,729
  5. Step 5: Solve for x
    x = 1,240,659,729/23,478
  6. Step 6: Final answer
    x = 52,843.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.