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Finding the Third Proportional to 14,510 and 20,104

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Solution

The third proportional to 14,510 and 20,104 is: 27,854.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,510 : 20,104 = 20,104 : x
  2. Step 2: Convert to fraction form
    14,510/20,104 = 20,104/x
  3. Step 3: Cross multiply
    14,510x = 20,104 × 20,104
  4. Step 4: Simplify right side
    14,510x = 404,170,816
  5. Step 5: Solve for x
    x = 404,170,816/14,510
  6. Step 6: Final answer
    x = 27,854.64

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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.