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Finding the Third Proportional to 9,530 and 15,215

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Solution

The third proportional to 9,530 and 15,215 is: 24,291.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,530 : 15,215 = 15,215 : x
  2. Step 2: Convert to fraction form
    9,530/15,215 = 15,215/x
  3. Step 3: Cross multiply
    9,530x = 15,215 × 15,215
  4. Step 4: Simplify right side
    9,530x = 231,496,225
  5. Step 5: Solve for x
    x = 231,496,225/9,530
  6. Step 6: Final answer
    x = 24,291.31

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.