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Finding the Third Proportional to 6,583.41 and 14,089.41

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Solution

The third proportional to 6,583.41 and 14,089.41 is: 30,153.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,583.41 : 14,089.41 = 14,089.41 : x
  2. Step 2: Convert to fraction form
    6,583.41/14,089.41 = 14,089.41/x
  3. Step 3: Cross multiply
    6,583.41x = 14,089.41 × 14,089.41
  4. Step 4: Simplify right side
    6,583.41x = 198,511,368.48
  5. Step 5: Solve for x
    x = 198,511,368.48/6,583.41
  6. Step 6: Final answer
    x = 30,153.29

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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.