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Finding the Third Proportional to 6,193.97 and 8,829.63

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Solution

The third proportional to 6,193.97 and 8,829.63 is: 12,586.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.97 : 8,829.63 = 8,829.63 : x
  2. Step 2: Convert to fraction form
    6,193.97/8,829.63 = 8,829.63/x
  3. Step 3: Cross multiply
    6,193.97x = 8,829.63 × 8,829.63
  4. Step 4: Simplify right side
    6,193.97x = 77,962,415.60
  5. Step 5: Solve for x
    x = 77,962,415.60/6,193.97
  6. Step 6: Final answer
    x = 12,586.83

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.