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Finding the Third Proportional to 14,491.69 and 31,751.44

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Solution

The third proportional to 14,491.69 and 31,751.44 is: 69,567.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,491.69 : 31,751.44 = 31,751.44 : x
  2. Step 2: Convert to fraction form
    14,491.69/31,751.44 = 31,751.44/x
  3. Step 3: Cross multiply
    14,491.69x = 31,751.44 × 31,751.44
  4. Step 4: Simplify right side
    14,491.69x = 1,008,153,783.32
  5. Step 5: Solve for x
    x = 1,008,153,783.32/14,491.69
  6. Step 6: Final answer
    x = 69,567.73

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.