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Finding the Third Proportional to 3,138.75 and 6,816.66

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Solution

The third proportional to 3,138.75 and 6,816.66 is: 14,804.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.75 : 6,816.66 = 6,816.66 : x
  2. Step 2: Convert to fraction form
    3,138.75/6,816.66 = 6,816.66/x
  3. Step 3: Cross multiply
    3,138.75x = 6,816.66 × 6,816.66
  4. Step 4: Simplify right side
    3,138.75x = 46,466,802.43
  5. Step 5: Solve for x
    x = 46,466,802.43/3,138.75
  6. Step 6: Final answer
    x = 14,804.24

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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.