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Finding the Third Proportional to 2,883.94 and 6,969.38

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Solution

The third proportional to 2,883.94 and 6,969.38 is: 16,842.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883.94 : 6,969.38 = 6,969.38 : x
  2. Step 2: Convert to fraction form
    2,883.94/6,969.38 = 6,969.38/x
  3. Step 3: Cross multiply
    2,883.94x = 6,969.38 × 6,969.38
  4. Step 4: Simplify right side
    2,883.94x = 48,572,187.89
  5. Step 5: Solve for x
    x = 48,572,187.89/2,883.94
  6. Step 6: Final answer
    x = 16,842.32

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.