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Finding the Third Proportional to 5,423.12 and 8,192.47

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Solution

The third proportional to 5,423.12 and 8,192.47 is: 12,376.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,423.12 : 8,192.47 = 8,192.47 : x
  2. Step 2: Convert to fraction form
    5,423.12/8,192.47 = 8,192.47/x
  3. Step 3: Cross multiply
    5,423.12x = 8,192.47 × 8,192.47
  4. Step 4: Simplify right side
    5,423.12x = 67,116,560.22
  5. Step 5: Solve for x
    x = 67,116,560.22/5,423.12
  6. Step 6: Final answer
    x = 12,376.00

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.