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Finding the Third Proportional to 19,392.75 and 27,961

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Solution

The third proportional to 19,392.75 and 27,961 is: 40,314.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,392.75 : 27,961 = 27,961 : x
  2. Step 2: Convert to fraction form
    19,392.75/27,961 = 27,961/x
  3. Step 3: Cross multiply
    19,392.75x = 27,961 × 27,961
  4. Step 4: Simplify right side
    19,392.75x = 781,817,521
  5. Step 5: Solve for x
    x = 781,817,521/19,392.75
  6. Step 6: Final answer
    x = 40,314.94

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.