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Finding the Third Proportional to 19,698 and 27,681

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Solution

The third proportional to 19,698 and 27,681 is: 38,899.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,698 : 27,681 = 27,681 : x
  2. Step 2: Convert to fraction form
    19,698/27,681 = 27,681/x
  3. Step 3: Cross multiply
    19,698x = 27,681 × 27,681
  4. Step 4: Simplify right side
    19,698x = 766,237,761
  5. Step 5: Solve for x
    x = 766,237,761/19,698
  6. Step 6: Final answer
    x = 38,899.27

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.