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Finding the Third Proportional to 20,095 and 30,325

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Solution

The third proportional to 20,095 and 30,325 is: 45,762.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,095 : 30,325 = 30,325 : x
  2. Step 2: Convert to fraction form
    20,095/30,325 = 30,325/x
  3. Step 3: Cross multiply
    20,095x = 30,325 × 30,325
  4. Step 4: Simplify right side
    20,095x = 919,605,625
  5. Step 5: Solve for x
    x = 919,605,625/20,095
  6. Step 6: Final answer
    x = 45,762.91

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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.