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Finding the Third Proportional to 21,724 and 23,692

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Solution

The third proportional to 21,724 and 23,692 is: 25,838.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,724 : 23,692 = 23,692 : x
  2. Step 2: Convert to fraction form
    21,724/23,692 = 23,692/x
  3. Step 3: Cross multiply
    21,724x = 23,692 × 23,692
  4. Step 4: Simplify right side
    21,724x = 561,310,864
  5. Step 5: Solve for x
    x = 561,310,864/21,724
  6. Step 6: Final answer
    x = 25,838.28

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.