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Finding the Third Proportional to 2,969.93 and 6,905.83

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Solution

The third proportional to 2,969.93 and 6,905.83 is: 16,057.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.93 : 6,905.83 = 6,905.83 : x
  2. Step 2: Convert to fraction form
    2,969.93/6,905.83 = 6,905.83/x
  3. Step 3: Cross multiply
    2,969.93x = 6,905.83 × 6,905.83
  4. Step 4: Simplify right side
    2,969.93x = 47,690,534.59
  5. Step 5: Solve for x
    x = 47,690,534.59/2,969.93
  6. Step 6: Final answer
    x = 16,057.81

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.