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Finding the Third Proportional to 3,005.16 and 6,917.63

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Solution

The third proportional to 3,005.16 and 6,917.63 is: 15,923.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.16 : 6,917.63 = 6,917.63 : x
  2. Step 2: Convert to fraction form
    3,005.16/6,917.63 = 6,917.63/x
  3. Step 3: Cross multiply
    3,005.16x = 6,917.63 × 6,917.63
  4. Step 4: Simplify right side
    3,005.16x = 47,853,535.64
  5. Step 5: Solve for x
    x = 47,853,535.64/3,005.16
  6. Step 6: Final answer
    x = 15,923.81

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.