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Finding the Third Proportional to 2,096.30 and 2,836.90

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Solution

The third proportional to 2,096.30 and 2,836.90 is: 3,839.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.30 : 2,836.90 = 2,836.90 : x
  2. Step 2: Convert to fraction form
    2,096.30/2,836.90 = 2,836.90/x
  3. Step 3: Cross multiply
    2,096.30x = 2,836.90 × 2,836.90
  4. Step 4: Simplify right side
    2,096.30x = 8,047,992.74
  5. Step 5: Solve for x
    x = 8,047,992.74/2,096.30
  6. Step 6: Final answer
    x = 3,839.15

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.