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Finding the Third Proportional to 13,588 and 20,128

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Solution

The third proportional to 13,588 and 20,128 is: 29,815.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,588 : 20,128 = 20,128 : x
  2. Step 2: Convert to fraction form
    13,588/20,128 = 20,128/x
  3. Step 3: Cross multiply
    13,588x = 20,128 × 20,128
  4. Step 4: Simplify right side
    13,588x = 405,136,384
  5. Step 5: Solve for x
    x = 405,136,384/13,588
  6. Step 6: Final answer
    x = 29,815.75

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.