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Finding the Third Proportional to 9,231 and 20,190

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Solution

The third proportional to 9,231 and 20,190 is: 44,159.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,231 : 20,190 = 20,190 : x
  2. Step 2: Convert to fraction form
    9,231/20,190 = 20,190/x
  3. Step 3: Cross multiply
    9,231x = 20,190 × 20,190
  4. Step 4: Simplify right side
    9,231x = 407,636,100
  5. Step 5: Solve for x
    x = 407,636,100/9,231
  6. Step 6: Final answer
    x = 44,159.47

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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.