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Finding the Third Proportional to 19,828 and 29,194

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Solution

The third proportional to 19,828 and 29,194 is: 42,984.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,828 : 29,194 = 29,194 : x
  2. Step 2: Convert to fraction form
    19,828/29,194 = 29,194/x
  3. Step 3: Cross multiply
    19,828x = 29,194 × 29,194
  4. Step 4: Simplify right side
    19,828x = 852,289,636
  5. Step 5: Solve for x
    x = 852,289,636/19,828
  6. Step 6: Final answer
    x = 42,984.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.