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Finding the Third Proportional to 13,599 and 20,475

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Solution

The third proportional to 13,599 and 20,475 is: 30,827.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,599 : 20,475 = 20,475 : x
  2. Step 2: Convert to fraction form
    13,599/20,475 = 20,475/x
  3. Step 3: Cross multiply
    13,599x = 20,475 × 20,475
  4. Step 4: Simplify right side
    13,599x = 419,225,625
  5. Step 5: Solve for x
    x = 419,225,625/13,599
  6. Step 6: Final answer
    x = 30,827.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.