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Finding the Third Proportional to 6,751.69 and 14,871.94

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Solution

The third proportional to 6,751.69 and 14,871.94 is: 32,758.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,751.69 : 14,871.94 = 14,871.94 : x
  2. Step 2: Convert to fraction form
    6,751.69/14,871.94 = 14,871.94/x
  3. Step 3: Cross multiply
    6,751.69x = 14,871.94 × 14,871.94
  4. Step 4: Simplify right side
    6,751.69x = 221,174,525.00
  5. Step 5: Solve for x
    x = 221,174,525.00/6,751.69
  6. Step 6: Final answer
    x = 32,758.41

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.