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Finding the Third Proportional to 19,341 and 42,231

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Solution

The third proportional to 19,341 and 42,231 is: 92,211.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,341 : 42,231 = 42,231 : x
  2. Step 2: Convert to fraction form
    19,341/42,231 = 42,231/x
  3. Step 3: Cross multiply
    19,341x = 42,231 × 42,231
  4. Step 4: Simplify right side
    19,341x = 1,783,457,361
  5. Step 5: Solve for x
    x = 1,783,457,361/19,341
  6. Step 6: Final answer
    x = 92,211.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.