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Finding the Third Proportional to 14,169.94 and 31,106.53

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Solution

The third proportional to 14,169.94 and 31,106.53 is: 68,286.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,169.94 : 31,106.53 = 31,106.53 : x
  2. Step 2: Convert to fraction form
    14,169.94/31,106.53 = 31,106.53/x
  3. Step 3: Cross multiply
    14,169.94x = 31,106.53 × 31,106.53
  4. Step 4: Simplify right side
    14,169.94x = 967,616,286.41
  5. Step 5: Solve for x
    x = 967,616,286.41/14,169.94
  6. Step 6: Final answer
    x = 68,286.56

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Why These Related Problems?

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