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Finding the Third Proportional to 2,935.41 and 6,005.81

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Solution

The third proportional to 2,935.41 and 6,005.81 is: 12,287.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,935.41 : 6,005.81 = 6,005.81 : x
  2. Step 2: Convert to fraction form
    2,935.41/6,005.81 = 6,005.81/x
  3. Step 3: Cross multiply
    2,935.41x = 6,005.81 × 6,005.81
  4. Step 4: Simplify right side
    2,935.41x = 36,069,783.79
  5. Step 5: Solve for x
    x = 36,069,783.79/2,935.41
  6. Step 6: Final answer
    x = 12,287.83

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.