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Finding the Third Proportional to 7,702 and 17,969

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Solution

The third proportional to 7,702 and 17,969 is: 41,922.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702 : 17,969 = 17,969 : x
  2. Step 2: Convert to fraction form
    7,702/17,969 = 17,969/x
  3. Step 3: Cross multiply
    7,702x = 17,969 × 17,969
  4. Step 4: Simplify right side
    7,702x = 322,884,961
  5. Step 5: Solve for x
    x = 322,884,961/7,702
  6. Step 6: Final answer
    x = 41,922.22

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.