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Finding the Third Proportional to 19,824 and 22,704

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Solution

The third proportional to 19,824 and 22,704 is: 26,002.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,824 : 22,704 = 22,704 : x
  2. Step 2: Convert to fraction form
    19,824/22,704 = 22,704/x
  3. Step 3: Cross multiply
    19,824x = 22,704 × 22,704
  4. Step 4: Simplify right side
    19,824x = 515,471,616
  5. Step 5: Solve for x
    x = 515,471,616/19,824
  6. Step 6: Final answer
    x = 26,002.40

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.