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Finding the Third Proportional to 23,482 and 35,225

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Solution

The third proportional to 23,482 and 35,225 is: 52,840.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,482 : 35,225 = 35,225 : x
  2. Step 2: Convert to fraction form
    23,482/35,225 = 35,225/x
  3. Step 3: Cross multiply
    23,482x = 35,225 × 35,225
  4. Step 4: Simplify right side
    23,482x = 1,240,800,625
  5. Step 5: Solve for x
    x = 1,240,800,625/23,482
  6. Step 6: Final answer
    x = 52,840.50

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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.