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Finding the Third Proportional to 21,538 and 33,097

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Solution

The third proportional to 21,538 and 33,097 is: 50,859.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,538 : 33,097 = 33,097 : x
  2. Step 2: Convert to fraction form
    21,538/33,097 = 33,097/x
  3. Step 3: Cross multiply
    21,538x = 33,097 × 33,097
  4. Step 4: Simplify right side
    21,538x = 1,095,411,409
  5. Step 5: Solve for x
    x = 1,095,411,409/21,538
  6. Step 6: Final answer
    x = 50,859.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.