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Finding the Third Proportional to 14,562 and 21,174.75

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Solution

The third proportional to 14,562 and 21,174.75 is: 30,790.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,562 : 21,174.75 = 21,174.75 : x
  2. Step 2: Convert to fraction form
    14,562/21,174.75 = 21,174.75/x
  3. Step 3: Cross multiply
    14,562x = 21,174.75 × 21,174.75
  4. Step 4: Simplify right side
    14,562x = 448,370,037.56
  5. Step 5: Solve for x
    x = 448,370,037.56/14,562
  6. Step 6: Final answer
    x = 30,790.42

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.