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Finding the Third Proportional to 12,896 and 19,964

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Solution

The third proportional to 12,896 and 19,964 is: 30,905.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,896 : 19,964 = 19,964 : x
  2. Step 2: Convert to fraction form
    12,896/19,964 = 19,964/x
  3. Step 3: Cross multiply
    12,896x = 19,964 × 19,964
  4. Step 4: Simplify right side
    12,896x = 398,561,296
  5. Step 5: Solve for x
    x = 398,561,296/12,896
  6. Step 6: Final answer
    x = 30,905.81

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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.