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Finding the Third Proportional to 12,716 and 19,689

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Solution

The third proportional to 12,716 and 19,689 is: 30,485.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,716 : 19,689 = 19,689 : x
  2. Step 2: Convert to fraction form
    12,716/19,689 = 19,689/x
  3. Step 3: Cross multiply
    12,716x = 19,689 × 19,689
  4. Step 4: Simplify right side
    12,716x = 387,656,721
  5. Step 5: Solve for x
    x = 387,656,721/12,716
  6. Step 6: Final answer
    x = 30,485.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.