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Finding the Third Proportional to 6,636.94 and 9,970.59

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Solution

The third proportional to 6,636.94 and 9,970.59 is: 14,978.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,636.94 : 9,970.59 = 9,970.59 : x
  2. Step 2: Convert to fraction form
    6,636.94/9,970.59 = 9,970.59/x
  3. Step 3: Cross multiply
    6,636.94x = 9,970.59 × 9,970.59
  4. Step 4: Simplify right side
    6,636.94x = 99,412,739.73
  5. Step 5: Solve for x
    x = 99,412,739.73/6,636.94
  6. Step 6: Final answer
    x = 14,978.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.