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Finding the Third Proportional to 19,208 and 25,944

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Solution

The third proportional to 19,208 and 25,944 is: 35,042.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,208 : 25,944 = 25,944 : x
  2. Step 2: Convert to fraction form
    19,208/25,944 = 25,944/x
  3. Step 3: Cross multiply
    19,208x = 25,944 × 25,944
  4. Step 4: Simplify right side
    19,208x = 673,091,136
  5. Step 5: Solve for x
    x = 673,091,136/19,208
  6. Step 6: Final answer
    x = 35,042.23

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.