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Finding the Third Proportional to 9,471 and 20,185

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Solution

The third proportional to 9,471 and 20,185 is: 43,019.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471 : 20,185 = 20,185 : x
  2. Step 2: Convert to fraction form
    9,471/20,185 = 20,185/x
  3. Step 3: Cross multiply
    9,471x = 20,185 × 20,185
  4. Step 4: Simplify right side
    9,471x = 407,434,225
  5. Step 5: Solve for x
    x = 407,434,225/9,471
  6. Step 6: Final answer
    x = 43,019.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.