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Finding the Third Proportional to 2,096.72 and 2,938.78

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Solution

The third proportional to 2,096.72 and 2,938.78 is: 4,119.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.72 : 2,938.78 = 2,938.78 : x
  2. Step 2: Convert to fraction form
    2,096.72/2,938.78 = 2,938.78/x
  3. Step 3: Cross multiply
    2,096.72x = 2,938.78 × 2,938.78
  4. Step 4: Simplify right side
    2,096.72x = 8,636,435.24
  5. Step 5: Solve for x
    x = 8,636,435.24/2,096.72
  6. Step 6: Final answer
    x = 4,119.02

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.