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Finding the Third Proportional to 2,165.06 and 3,096.19

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Solution

The third proportional to 2,165.06 and 3,096.19 is: 4,427.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.06 : 3,096.19 = 3,096.19 : x
  2. Step 2: Convert to fraction form
    2,165.06/3,096.19 = 3,096.19/x
  3. Step 3: Cross multiply
    2,165.06x = 3,096.19 × 3,096.19
  4. Step 4: Simplify right side
    2,165.06x = 9,586,377.04
  5. Step 5: Solve for x
    x = 9,586,377.04/2,165.06
  6. Step 6: Final answer
    x = 4,427.76

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.