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Finding the Third Proportional to 6,197.77 and 9,441.98

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Solution

The third proportional to 6,197.77 and 9,441.98 is: 14,384.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.77 : 9,441.98 = 9,441.98 : x
  2. Step 2: Convert to fraction form
    6,197.77/9,441.98 = 9,441.98/x
  3. Step 3: Cross multiply
    6,197.77x = 9,441.98 × 9,441.98
  4. Step 4: Simplify right side
    6,197.77x = 89,151,068.94
  5. Step 5: Solve for x
    x = 89,151,068.94/6,197.77
  6. Step 6: Final answer
    x = 14,384.39

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.