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Finding the Third Proportional to 21,505.50 and 24,991.03

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Solution

The third proportional to 21,505.50 and 24,991.03 is: 29,041.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,505.50 : 24,991.03 = 24,991.03 : x
  2. Step 2: Convert to fraction form
    21,505.50/24,991.03 = 24,991.03/x
  3. Step 3: Cross multiply
    21,505.50x = 24,991.03 × 24,991.03
  4. Step 4: Simplify right side
    21,505.50x = 624,551,642.94
  5. Step 5: Solve for x
    x = 624,551,642.94/21,505.50
  6. Step 6: Final answer
    x = 29,041.48

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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.