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Finding the Third Proportional to 12,816 and 19,288

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Solution

The third proportional to 12,816 and 19,288 is: 29,028.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,816 : 19,288 = 19,288 : x
  2. Step 2: Convert to fraction form
    12,816/19,288 = 19,288/x
  3. Step 3: Cross multiply
    12,816x = 19,288 × 19,288
  4. Step 4: Simplify right side
    12,816x = 372,026,944
  5. Step 5: Solve for x
    x = 372,026,944/12,816
  6. Step 6: Final answer
    x = 29,028.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.