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Finding the Third Proportional to 9,385 and 20,225

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Solution

The third proportional to 9,385 and 20,225 is: 43,585.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,385 : 20,225 = 20,225 : x
  2. Step 2: Convert to fraction form
    9,385/20,225 = 20,225/x
  3. Step 3: Cross multiply
    9,385x = 20,225 × 20,225
  4. Step 4: Simplify right side
    9,385x = 409,050,625
  5. Step 5: Solve for x
    x = 409,050,625/9,385
  6. Step 6: Final answer
    x = 43,585.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.