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Finding the Third Proportional to 18,065 and 23,969

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Solution

The third proportional to 18,065 and 23,969 is: 31,802.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,065 : 23,969 = 23,969 : x
  2. Step 2: Convert to fraction form
    18,065/23,969 = 23,969/x
  3. Step 3: Cross multiply
    18,065x = 23,969 × 23,969
  4. Step 4: Simplify right side
    18,065x = 574,512,961
  5. Step 5: Solve for x
    x = 574,512,961/18,065
  6. Step 6: Final answer
    x = 31,802.54

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.