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Finding the Third Proportional to 7,872 and 12,896

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Solution

The third proportional to 7,872 and 12,896 is: 21,126.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872 : 12,896 = 12,896 : x
  2. Step 2: Convert to fraction form
    7,872/12,896 = 12,896/x
  3. Step 3: Cross multiply
    7,872x = 12,896 × 12,896
  4. Step 4: Simplify right side
    7,872x = 166,306,816
  5. Step 5: Solve for x
    x = 166,306,816/7,872
  6. Step 6: Final answer
    x = 21,126.37

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.