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Finding the Third Proportional to 24,921.50 and 35,546.25

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Solution

The third proportional to 24,921.50 and 35,546.25 is: 50,700.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,921.50 : 35,546.25 = 35,546.25 : x
  2. Step 2: Convert to fraction form
    24,921.50/35,546.25 = 35,546.25/x
  3. Step 3: Cross multiply
    24,921.50x = 35,546.25 × 35,546.25
  4. Step 4: Simplify right side
    24,921.50x = 1,263,535,889.06
  5. Step 5: Solve for x
    x = 1,263,535,889.06/24,921.50
  6. Step 6: Final answer
    x = 50,700.64

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.