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Finding the Third Proportional to 3,153.94 and 6,842.81

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Solution

The third proportional to 3,153.94 and 6,842.81 is: 14,846.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.94 : 6,842.81 = 6,842.81 : x
  2. Step 2: Convert to fraction form
    3,153.94/6,842.81 = 6,842.81/x
  3. Step 3: Cross multiply
    3,153.94x = 6,842.81 × 6,842.81
  4. Step 4: Simplify right side
    3,153.94x = 46,824,082.91
  5. Step 5: Solve for x
    x = 46,824,082.91/3,153.94
  6. Step 6: Final answer
    x = 14,846.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.