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Finding the Third Proportional to 14,562 and 20,184.75

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Solution

The third proportional to 14,562 and 20,184.75 is: 27,978.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,562 : 20,184.75 = 20,184.75 : x
  2. Step 2: Convert to fraction form
    14,562/20,184.75 = 20,184.75/x
  3. Step 3: Cross multiply
    14,562x = 20,184.75 × 20,184.75
  4. Step 4: Simplify right side
    14,562x = 407,424,132.56
  5. Step 5: Solve for x
    x = 407,424,132.56/14,562
  6. Step 6: Final answer
    x = 27,978.58

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.