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Finding the Third Proportional to 20,574 and 27,881

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Solution

The third proportional to 20,574 and 27,881 is: 37,783.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,574 : 27,881 = 27,881 : x
  2. Step 2: Convert to fraction form
    20,574/27,881 = 27,881/x
  3. Step 3: Cross multiply
    20,574x = 27,881 × 27,881
  4. Step 4: Simplify right side
    20,574x = 777,350,161
  5. Step 5: Solve for x
    x = 777,350,161/20,574
  6. Step 6: Final answer
    x = 37,783.13

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.