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Finding the Third Proportional to 8,996.25 and 14,081.25

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Solution

The third proportional to 8,996.25 and 14,081.25 is: 22,040.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,996.25 : 14,081.25 = 14,081.25 : x
  2. Step 2: Convert to fraction form
    8,996.25/14,081.25 = 14,081.25/x
  3. Step 3: Cross multiply
    8,996.25x = 14,081.25 × 14,081.25
  4. Step 4: Simplify right side
    8,996.25x = 198,281,601.56
  5. Step 5: Solve for x
    x = 198,281,601.56/8,996.25
  6. Step 6: Final answer
    x = 22,040.47

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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.