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Finding the Third Proportional to 8,986.50 and 11,391.75

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Solution

The third proportional to 8,986.50 and 11,391.75 is: 14,440.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,986.50 : 11,391.75 = 11,391.75 : x
  2. Step 2: Convert to fraction form
    8,986.50/11,391.75 = 11,391.75/x
  3. Step 3: Cross multiply
    8,986.50x = 11,391.75 × 11,391.75
  4. Step 4: Simplify right side
    8,986.50x = 129,771,968.06
  5. Step 5: Solve for x
    x = 129,771,968.06/8,986.50
  6. Step 6: Final answer
    x = 14,440.77

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.