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Finding the Third Proportional to 6,373.41 and 13,669.44

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Solution

The third proportional to 6,373.41 and 13,669.44 is: 29,317.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,373.41 : 13,669.44 = 13,669.44 : x
  2. Step 2: Convert to fraction form
    6,373.41/13,669.44 = 13,669.44/x
  3. Step 3: Cross multiply
    6,373.41x = 13,669.44 × 13,669.44
  4. Step 4: Simplify right side
    6,373.41x = 186,853,521.57
  5. Step 5: Solve for x
    x = 186,853,521.57/6,373.41
  6. Step 6: Final answer
    x = 29,317.69

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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.