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Finding the Third Proportional to 14,198 and 21,021.50

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Solution

The third proportional to 14,198 and 21,021.50 is: 31,124.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,198 : 21,021.50 = 21,021.50 : x
  2. Step 2: Convert to fraction form
    14,198/21,021.50 = 21,021.50/x
  3. Step 3: Cross multiply
    14,198x = 21,021.50 × 21,021.50
  4. Step 4: Simplify right side
    14,198x = 441,903,462.25
  5. Step 5: Solve for x
    x = 441,903,462.25/14,198
  6. Step 6: Final answer
    x = 31,124.35

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.