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Finding the Third Proportional to 5,834.72 and 8,968.41

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Solution

The third proportional to 5,834.72 and 8,968.41 is: 13,785.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.72 : 8,968.41 = 8,968.41 : x
  2. Step 2: Convert to fraction form
    5,834.72/8,968.41 = 8,968.41/x
  3. Step 3: Cross multiply
    5,834.72x = 8,968.41 × 8,968.41
  4. Step 4: Simplify right side
    5,834.72x = 80,432,310.67
  5. Step 5: Solve for x
    x = 80,432,310.67/5,834.72
  6. Step 6: Final answer
    x = 13,785.12

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.