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Finding the Third Proportional to 19,272 and 28,828

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Solution

The third proportional to 19,272 and 28,828 is: 43,122.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,272 : 28,828 = 28,828 : x
  2. Step 2: Convert to fraction form
    19,272/28,828 = 28,828/x
  3. Step 3: Cross multiply
    19,272x = 28,828 × 28,828
  4. Step 4: Simplify right side
    19,272x = 831,053,584
  5. Step 5: Solve for x
    x = 831,053,584/19,272
  6. Step 6: Final answer
    x = 43,122.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.