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Finding the Third Proportional to 19,408.50 and 22,281.75

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Solution

The third proportional to 19,408.50 and 22,281.75 is: 25,580.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,408.50 : 22,281.75 = 22,281.75 : x
  2. Step 2: Convert to fraction form
    19,408.50/22,281.75 = 22,281.75/x
  3. Step 3: Cross multiply
    19,408.50x = 22,281.75 × 22,281.75
  4. Step 4: Simplify right side
    19,408.50x = 496,476,383.06
  5. Step 5: Solve for x
    x = 496,476,383.06/19,408.50
  6. Step 6: Final answer
    x = 25,580.36

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.