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Finding the Third Proportional to 2,729.53 and 6,005.81

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Solution

The third proportional to 2,729.53 and 6,005.81 is: 13,214.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.53 : 6,005.81 = 6,005.81 : x
  2. Step 2: Convert to fraction form
    2,729.53/6,005.81 = 6,005.81/x
  3. Step 3: Cross multiply
    2,729.53x = 6,005.81 × 6,005.81
  4. Step 4: Simplify right side
    2,729.53x = 36,069,783.79
  5. Step 5: Solve for x
    x = 36,069,783.79/2,729.53
  6. Step 6: Final answer
    x = 13,214.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.