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Finding the Third Proportional to 6,251.63 and 8,792.44

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Solution

The third proportional to 6,251.63 and 8,792.44 is: 12,365.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,251.63 : 8,792.44 = 8,792.44 : x
  2. Step 2: Convert to fraction form
    6,251.63/8,792.44 = 8,792.44/x
  3. Step 3: Cross multiply
    6,251.63x = 8,792.44 × 8,792.44
  4. Step 4: Simplify right side
    6,251.63x = 77,306,957.19
  5. Step 5: Solve for x
    x = 77,306,957.19/6,251.63
  6. Step 6: Final answer
    x = 12,365.90

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.