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Finding the Third Proportional to 2,892.94 and 6,204.38

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Solution

The third proportional to 2,892.94 and 6,204.38 is: 13,306.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.94 : 6,204.38 = 6,204.38 : x
  2. Step 2: Convert to fraction form
    2,892.94/6,204.38 = 6,204.38/x
  3. Step 3: Cross multiply
    2,892.94x = 6,204.38 × 6,204.38
  4. Step 4: Simplify right side
    2,892.94x = 38,494,269.14
  5. Step 5: Solve for x
    x = 38,494,269.14/2,892.94
  6. Step 6: Final answer
    x = 13,306.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.