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Finding the Third Proportional to 6,266.27 and 13,057.93

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Solution

The third proportional to 6,266.27 and 13,057.93 is: 27,210.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.27 : 13,057.93 = 13,057.93 : x
  2. Step 2: Convert to fraction form
    6,266.27/13,057.93 = 13,057.93/x
  3. Step 3: Cross multiply
    6,266.27x = 13,057.93 × 13,057.93
  4. Step 4: Simplify right side
    6,266.27x = 170,509,476.72
  5. Step 5: Solve for x
    x = 170,509,476.72/6,266.27
  6. Step 6: Final answer
    x = 27,210.69

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.