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Finding the Third Proportional to 13,698 and 21,777

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Solution

The third proportional to 13,698 and 21,777 is: 34,620.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698 : 21,777 = 21,777 : x
  2. Step 2: Convert to fraction form
    13,698/21,777 = 21,777/x
  3. Step 3: Cross multiply
    13,698x = 21,777 × 21,777
  4. Step 4: Simplify right side
    13,698x = 474,237,729
  5. Step 5: Solve for x
    x = 474,237,729/13,698
  6. Step 6: Final answer
    x = 34,620.95

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.