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Finding the Third Proportional to 8,896 and 14,000

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Solution

The third proportional to 8,896 and 14,000 is: 22,032.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,896 : 14,000 = 14,000 : x
  2. Step 2: Convert to fraction form
    8,896/14,000 = 14,000/x
  3. Step 3: Cross multiply
    8,896x = 14,000 × 14,000
  4. Step 4: Simplify right side
    8,896x = 196,000,000
  5. Step 5: Solve for x
    x = 196,000,000/8,896
  6. Step 6: Final answer
    x = 22,032.37

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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.