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Finding the Third Proportional to 23,587.13 and 34,408.50

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Solution

The third proportional to 23,587.13 and 34,408.50 is: 50,194.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,587.13 : 34,408.50 = 34,408.50 : x
  2. Step 2: Convert to fraction form
    23,587.13/34,408.50 = 34,408.50/x
  3. Step 3: Cross multiply
    23,587.13x = 34,408.50 × 34,408.50
  4. Step 4: Simplify right side
    23,587.13x = 1,183,944,872.25
  5. Step 5: Solve for x
    x = 1,183,944,872.25/23,587.13
  6. Step 6: Final answer
    x = 50,194.54

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.