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Finding the Third Proportional to 19,496.50 and 27,881

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Solution

The third proportional to 19,496.50 and 27,881 is: 39,871.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,496.50 : 27,881 = 27,881 : x
  2. Step 2: Convert to fraction form
    19,496.50/27,881 = 27,881/x
  3. Step 3: Cross multiply
    19,496.50x = 27,881 × 27,881
  4. Step 4: Simplify right side
    19,496.50x = 777,350,161
  5. Step 5: Solve for x
    x = 777,350,161/19,496.50
  6. Step 6: Final answer
    x = 39,871.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.