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Finding the Third Proportional to 19,340 and 41,214

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Solution

The third proportional to 19,340 and 41,214 is: 87,828.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,340 : 41,214 = 41,214 : x
  2. Step 2: Convert to fraction form
    19,340/41,214 = 41,214/x
  3. Step 3: Cross multiply
    19,340x = 41,214 × 41,214
  4. Step 4: Simplify right side
    19,340x = 1,698,593,796
  5. Step 5: Solve for x
    x = 1,698,593,796/19,340
  6. Step 6: Final answer
    x = 87,828.01

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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.