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Finding the Third Proportional to 9,262.50 and 20,325

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Solution

The third proportional to 9,262.50 and 20,325 is: 44,599.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.50 : 20,325 = 20,325 : x
  2. Step 2: Convert to fraction form
    9,262.50/20,325 = 20,325/x
  3. Step 3: Cross multiply
    9,262.50x = 20,325 × 20,325
  4. Step 4: Simplify right side
    9,262.50x = 413,105,625
  5. Step 5: Solve for x
    x = 413,105,625/9,262.50
  6. Step 6: Final answer
    x = 44,599.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.