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Finding the Third Proportional to 4,996.69 and 7,096.78

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Solution

The third proportional to 4,996.69 and 7,096.78 is: 10,079.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,996.69 : 7,096.78 = 7,096.78 : x
  2. Step 2: Convert to fraction form
    4,996.69/7,096.78 = 7,096.78/x
  3. Step 3: Cross multiply
    4,996.69x = 7,096.78 × 7,096.78
  4. Step 4: Simplify right side
    4,996.69x = 50,364,304.11
  5. Step 5: Solve for x
    x = 50,364,304.11/4,996.69
  6. Step 6: Final answer
    x = 10,079.54

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.