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Finding the Third Proportional to 19,576 and 27,906

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Solution

The third proportional to 19,576 and 27,906 is: 39,780.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,576 : 27,906 = 27,906 : x
  2. Step 2: Convert to fraction form
    19,576/27,906 = 27,906/x
  3. Step 3: Cross multiply
    19,576x = 27,906 × 27,906
  4. Step 4: Simplify right side
    19,576x = 778,744,836
  5. Step 5: Solve for x
    x = 778,744,836/19,576
  6. Step 6: Final answer
    x = 39,780.59

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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.