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Finding the Third Proportional to 13,824 and 29,821.50

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Solution

The third proportional to 13,824 and 29,821.50 is: 64,331.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,824 : 29,821.50 = 29,821.50 : x
  2. Step 2: Convert to fraction form
    13,824/29,821.50 = 29,821.50/x
  3. Step 3: Cross multiply
    13,824x = 29,821.50 × 29,821.50
  4. Step 4: Simplify right side
    13,824x = 889,321,862.25
  5. Step 5: Solve for x
    x = 889,321,862.25/13,824
  6. Step 6: Final answer
    x = 64,331.73

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.