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Finding the Third Proportional to 15,299.72 and 32,408.44

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Solution

The third proportional to 15,299.72 and 32,408.44 is: 68,648.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,299.72 : 32,408.44 = 32,408.44 : x
  2. Step 2: Convert to fraction form
    15,299.72/32,408.44 = 32,408.44/x
  3. Step 3: Cross multiply
    15,299.72x = 32,408.44 × 32,408.44
  4. Step 4: Simplify right side
    15,299.72x = 1,050,306,821.19
  5. Step 5: Solve for x
    x = 1,050,306,821.19/15,299.72
  6. Step 6: Final answer
    x = 68,648.77

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.