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Finding the Third Proportional to 6,683.77 and 14,262.96

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Solution

The third proportional to 6,683.77 and 14,262.96 is: 30,436.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683.77 : 14,262.96 = 14,262.96 : x
  2. Step 2: Convert to fraction form
    6,683.77/14,262.96 = 14,262.96/x
  3. Step 3: Cross multiply
    6,683.77x = 14,262.96 × 14,262.96
  4. Step 4: Simplify right side
    6,683.77x = 203,432,054.70
  5. Step 5: Solve for x
    x = 203,432,054.70/6,683.77
  6. Step 6: Final answer
    x = 30,436.74

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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.