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Finding the Third Proportional to 8,997.94 and 14,113.88

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Solution

The third proportional to 8,997.94 and 14,113.88 is: 22,138.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,997.94 : 14,113.88 = 14,113.88 : x
  2. Step 2: Convert to fraction form
    8,997.94/14,113.88 = 14,113.88/x
  3. Step 3: Cross multiply
    8,997.94x = 14,113.88 × 14,113.88
  4. Step 4: Simplify right side
    8,997.94x = 199,201,467.52
  5. Step 5: Solve for x
    x = 199,201,467.52/8,997.94
  6. Step 6: Final answer
    x = 22,138.57

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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.