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Finding the Third Proportional to 5,072.63 and 6,982.45

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Solution

The third proportional to 5,072.63 and 6,982.45 is: 9,611.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.63 : 6,982.45 = 6,982.45 : x
  2. Step 2: Convert to fraction form
    5,072.63/6,982.45 = 6,982.45/x
  3. Step 3: Cross multiply
    5,072.63x = 6,982.45 × 6,982.45
  4. Step 4: Simplify right side
    5,072.63x = 48,754,651.64
  5. Step 5: Solve for x
    x = 48,754,651.64/5,072.63
  6. Step 6: Final answer
    x = 9,611.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.