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Finding the Third Proportional to 9,965 and 21,567

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Solution

The third proportional to 9,965 and 21,567 is: 46,676.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965 : 21,567 = 21,567 : x
  2. Step 2: Convert to fraction form
    9,965/21,567 = 21,567/x
  3. Step 3: Cross multiply
    9,965x = 21,567 × 21,567
  4. Step 4: Simplify right side
    9,965x = 465,135,489
  5. Step 5: Solve for x
    x = 465,135,489/9,965
  6. Step 6: Final answer
    x = 46,676.92

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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.