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Finding the Third Proportional to 20,194 and 29,411

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Solution

The third proportional to 20,194 and 29,411 is: 42,834.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,194 : 29,411 = 29,411 : x
  2. Step 2: Convert to fraction form
    20,194/29,411 = 29,411/x
  3. Step 3: Cross multiply
    20,194x = 29,411 × 29,411
  4. Step 4: Simplify right side
    20,194x = 865,006,921
  5. Step 5: Solve for x
    x = 865,006,921/20,194
  6. Step 6: Final answer
    x = 42,834.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.