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Finding the Third Proportional to 2,693.46 and 3,084.96

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Solution

The third proportional to 2,693.46 and 3,084.96 is: 3,533.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.46 : 3,084.96 = 3,084.96 : x
  2. Step 2: Convert to fraction form
    2,693.46/3,084.96 = 3,084.96/x
  3. Step 3: Cross multiply
    2,693.46x = 3,084.96 × 3,084.96
  4. Step 4: Simplify right side
    2,693.46x = 9,516,983.99
  5. Step 5: Solve for x
    x = 9,516,983.99/2,693.46
  6. Step 6: Final answer
    x = 3,533.37

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.