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Finding the Third Proportional to 6,366.41 and 13,578.26

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Solution

The third proportional to 6,366.41 and 13,578.26 is: 28,959.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,366.41 : 13,578.26 = 13,578.26 : x
  2. Step 2: Convert to fraction form
    6,366.41/13,578.26 = 13,578.26/x
  3. Step 3: Cross multiply
    6,366.41x = 13,578.26 × 13,578.26
  4. Step 4: Simplify right side
    6,366.41x = 184,369,085.22
  5. Step 5: Solve for x
    x = 184,369,085.22/6,366.41
  6. Step 6: Final answer
    x = 28,959.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.