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Finding the Third Proportional to 3,101.81 and 6,750.38

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Solution

The third proportional to 3,101.81 and 6,750.38 is: 14,690.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.81 : 6,750.38 = 6,750.38 : x
  2. Step 2: Convert to fraction form
    3,101.81/6,750.38 = 6,750.38/x
  3. Step 3: Cross multiply
    3,101.81x = 6,750.38 × 6,750.38
  4. Step 4: Simplify right side
    3,101.81x = 45,567,562.64
  5. Step 5: Solve for x
    x = 45,567,562.64/3,101.81
  6. Step 6: Final answer
    x = 14,690.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.