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Finding the Third Proportional to 19,824 and 26,616

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Solution

The third proportional to 19,824 and 26,616 is: 35,735.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,824 : 26,616 = 26,616 : x
  2. Step 2: Convert to fraction form
    19,824/26,616 = 26,616/x
  3. Step 3: Cross multiply
    19,824x = 26,616 × 26,616
  4. Step 4: Simplify right side
    19,824x = 708,411,456
  5. Step 5: Solve for x
    x = 708,411,456/19,824
  6. Step 6: Final answer
    x = 35,735.04

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.