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Finding the Third Proportional to 22,119 and 34,249.50

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Solution

The third proportional to 22,119 and 34,249.50 is: 53,032.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,119 : 34,249.50 = 34,249.50 : x
  2. Step 2: Convert to fraction form
    22,119/34,249.50 = 34,249.50/x
  3. Step 3: Cross multiply
    22,119x = 34,249.50 × 34,249.50
  4. Step 4: Simplify right side
    22,119x = 1,173,028,250.25
  5. Step 5: Solve for x
    x = 1,173,028,250.25/22,119
  6. Step 6: Final answer
    x = 53,032.61

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.