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Finding the Third Proportional to 22,968 and 25,336

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Solution

The third proportional to 22,968 and 25,336 is: 27,948.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,968 : 25,336 = 25,336 : x
  2. Step 2: Convert to fraction form
    22,968/25,336 = 25,336/x
  3. Step 3: Cross multiply
    22,968x = 25,336 × 25,336
  4. Step 4: Simplify right side
    22,968x = 641,912,896
  5. Step 5: Solve for x
    x = 641,912,896/22,968
  6. Step 6: Final answer
    x = 27,948.14

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.