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Finding the Third Proportional to 8,993.50 and 14,076.75

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Solution

The third proportional to 8,993.50 and 14,076.75 is: 22,033.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,993.50 : 14,076.75 = 14,076.75 : x
  2. Step 2: Convert to fraction form
    8,993.50/14,076.75 = 14,076.75/x
  3. Step 3: Cross multiply
    8,993.50x = 14,076.75 × 14,076.75
  4. Step 4: Simplify right side
    8,993.50x = 198,154,890.56
  5. Step 5: Solve for x
    x = 198,154,890.56/8,993.50
  6. Step 6: Final answer
    x = 22,033.12

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.