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Finding the Third Proportional to 16,224.75 and 35,971.88

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Solution

The third proportional to 16,224.75 and 35,971.88 is: 79,753.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,224.75 : 35,971.88 = 35,971.88 : x
  2. Step 2: Convert to fraction form
    16,224.75/35,971.88 = 35,971.88/x
  3. Step 3: Cross multiply
    16,224.75x = 35,971.88 × 35,971.88
  4. Step 4: Simplify right side
    16,224.75x = 1,293,975,791.02
  5. Step 5: Solve for x
    x = 1,293,975,791.02/16,224.75
  6. Step 6: Final answer
    x = 79,753.20

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.