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Finding the Third Proportional to 10,896 and 19,968

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Solution

The third proportional to 10,896 and 19,968 is: 36,593.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,896 : 19,968 = 19,968 : x
  2. Step 2: Convert to fraction form
    10,896/19,968 = 19,968/x
  3. Step 3: Cross multiply
    10,896x = 19,968 × 19,968
  4. Step 4: Simplify right side
    10,896x = 398,721,024
  5. Step 5: Solve for x
    x = 398,721,024/10,896
  6. Step 6: Final answer
    x = 36,593.34

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.