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Finding the Third Proportional to 6,528.94 and 13,979.81

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Solution

The third proportional to 6,528.94 and 13,979.81 is: 29,933.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,528.94 : 13,979.81 = 13,979.81 : x
  2. Step 2: Convert to fraction form
    6,528.94/13,979.81 = 13,979.81/x
  3. Step 3: Cross multiply
    6,528.94x = 13,979.81 × 13,979.81
  4. Step 4: Simplify right side
    6,528.94x = 195,435,157.54
  5. Step 5: Solve for x
    x = 195,435,157.54/6,528.94
  6. Step 6: Final answer
    x = 29,933.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.