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Finding the Third Proportional to 13,509 and 28,092

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Solution

The third proportional to 13,509 and 28,092 is: 58,417.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509 : 28,092 = 28,092 : x
  2. Step 2: Convert to fraction form
    13,509/28,092 = 28,092/x
  3. Step 3: Cross multiply
    13,509x = 28,092 × 28,092
  4. Step 4: Simplify right side
    13,509x = 789,160,464
  5. Step 5: Solve for x
    x = 789,160,464/13,509
  6. Step 6: Final answer
    x = 58,417.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.