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Finding the Third Proportional to 10,922.39 and 23,889.05

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Solution

The third proportional to 10,922.39 and 23,889.05 is: 52,249.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,922.39 : 23,889.05 = 23,889.05 : x
  2. Step 2: Convert to fraction form
    10,922.39/23,889.05 = 23,889.05/x
  3. Step 3: Cross multiply
    10,922.39x = 23,889.05 × 23,889.05
  4. Step 4: Simplify right side
    10,922.39x = 570,686,560.60
  5. Step 5: Solve for x
    x = 570,686,560.60/10,922.39
  6. Step 6: Final answer
    x = 52,249.24

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.