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Finding the Third Proportional to 4,217 and 9,962

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Solution

The third proportional to 4,217 and 9,962 is: 23,533.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,217 : 9,962 = 9,962 : x
  2. Step 2: Convert to fraction form
    4,217/9,962 = 9,962/x
  3. Step 3: Cross multiply
    4,217x = 9,962 × 9,962
  4. Step 4: Simplify right side
    4,217x = 99,241,444
  5. Step 5: Solve for x
    x = 99,241,444/4,217
  6. Step 6: Final answer
    x = 23,533.66

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.