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Finding the Third Proportional to 19,576 and 27,890

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Solution

The third proportional to 19,576 and 27,890 is: 39,734.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,576 : 27,890 = 27,890 : x
  2. Step 2: Convert to fraction form
    19,576/27,890 = 27,890/x
  3. Step 3: Cross multiply
    19,576x = 27,890 × 27,890
  4. Step 4: Simplify right side
    19,576x = 777,852,100
  5. Step 5: Solve for x
    x = 777,852,100/19,576
  6. Step 6: Final answer
    x = 39,734.99

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.