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Finding the Third Proportional to 6,763.36 and 14,986.27

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Solution

The third proportional to 6,763.36 and 14,986.27 is: 33,206.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,763.36 : 14,986.27 = 14,986.27 : x
  2. Step 2: Convert to fraction form
    6,763.36/14,986.27 = 14,986.27/x
  3. Step 3: Cross multiply
    6,763.36x = 14,986.27 × 14,986.27
  4. Step 4: Simplify right side
    6,763.36x = 224,588,157.38
  5. Step 5: Solve for x
    x = 224,588,157.38/6,763.36
  6. Step 6: Final answer
    x = 33,206.60

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.