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Finding the Third Proportional to 11,656 and 18,516

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Solution

The third proportional to 11,656 and 18,516 is: 29,413.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656 : 18,516 = 18,516 : x
  2. Step 2: Convert to fraction form
    11,656/18,516 = 18,516/x
  3. Step 3: Cross multiply
    11,656x = 18,516 × 18,516
  4. Step 4: Simplify right side
    11,656x = 342,842,256
  5. Step 5: Solve for x
    x = 342,842,256/11,656
  6. Step 6: Final answer
    x = 29,413.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.