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Finding the Third Proportional to 12,716 and 19,673

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Solution

The third proportional to 12,716 and 19,673 is: 30,436.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,716 : 19,673 = 19,673 : x
  2. Step 2: Convert to fraction form
    12,716/19,673 = 19,673/x
  3. Step 3: Cross multiply
    12,716x = 19,673 × 19,673
  4. Step 4: Simplify right side
    12,716x = 387,026,929
  5. Step 5: Solve for x
    x = 387,026,929/12,716
  6. Step 6: Final answer
    x = 30,436.22

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