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Finding the Third Proportional to 9,869 and 21,301

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Solution

The third proportional to 9,869 and 21,301 is: 45,975.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,869 : 21,301 = 21,301 : x
  2. Step 2: Convert to fraction form
    9,869/21,301 = 21,301/x
  3. Step 3: Cross multiply
    9,869x = 21,301 × 21,301
  4. Step 4: Simplify right side
    9,869x = 453,732,601
  5. Step 5: Solve for x
    x = 453,732,601/9,869
  6. Step 6: Final answer
    x = 45,975.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.