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Finding the Third Proportional to 14,520 and 18,384

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Solution

The third proportional to 14,520 and 18,384 is: 23,276.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,520 : 18,384 = 18,384 : x
  2. Step 2: Convert to fraction form
    14,520/18,384 = 18,384/x
  3. Step 3: Cross multiply
    14,520x = 18,384 × 18,384
  4. Step 4: Simplify right side
    14,520x = 337,971,456
  5. Step 5: Solve for x
    x = 337,971,456/14,520
  6. Step 6: Final answer
    x = 23,276.27

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.