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Finding the Third Proportional to 20,160 and 24,384

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Solution

The third proportional to 20,160 and 24,384 is: 29,493.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,160 : 24,384 = 24,384 : x
  2. Step 2: Convert to fraction form
    20,160/24,384 = 24,384/x
  3. Step 3: Cross multiply
    20,160x = 24,384 × 24,384
  4. Step 4: Simplify right side
    20,160x = 594,579,456
  5. Step 5: Solve for x
    x = 594,579,456/20,160
  6. Step 6: Final answer
    x = 29,493.03

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.