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Finding the Third Proportional to 14,121 and 21,851.44

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Solution

The third proportional to 14,121 and 21,851.44 is: 33,813.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,121 : 21,851.44 = 21,851.44 : x
  2. Step 2: Convert to fraction form
    14,121/21,851.44 = 21,851.44/x
  3. Step 3: Cross multiply
    14,121x = 21,851.44 × 21,851.44
  4. Step 4: Simplify right side
    14,121x = 477,485,320.82
  5. Step 5: Solve for x
    x = 477,485,320.82/14,121
  6. Step 6: Final answer
    x = 33,813.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.