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Finding the Third Proportional to 7,677 and 16,254

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Solution

The third proportional to 7,677 and 16,254 is: 34,413.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677 : 16,254 = 16,254 : x
  2. Step 2: Convert to fraction form
    7,677/16,254 = 16,254/x
  3. Step 3: Cross multiply
    7,677x = 16,254 × 16,254
  4. Step 4: Simplify right side
    7,677x = 264,192,516
  5. Step 5: Solve for x
    x = 264,192,516/7,677
  6. Step 6: Final answer
    x = 34,413.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.