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Finding the Third Proportional to 6,568.59 and 13,444.10

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Solution

The third proportional to 6,568.59 and 13,444.10 is: 27,516.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.59 : 13,444.10 = 13,444.10 : x
  2. Step 2: Convert to fraction form
    6,568.59/13,444.10 = 13,444.10/x
  3. Step 3: Cross multiply
    6,568.59x = 13,444.10 × 13,444.10
  4. Step 4: Simplify right side
    6,568.59x = 180,743,866.82
  5. Step 5: Solve for x
    x = 180,743,866.82/6,568.59
  6. Step 6: Final answer
    x = 27,516.37

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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.