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Finding the Third Proportional to 10,692 and 15,949

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Solution

The third proportional to 10,692 and 15,949 is: 23,790.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692 : 15,949 = 15,949 : x
  2. Step 2: Convert to fraction form
    10,692/15,949 = 15,949/x
  3. Step 3: Cross multiply
    10,692x = 15,949 × 15,949
  4. Step 4: Simplify right side
    10,692x = 254,370,601
  5. Step 5: Solve for x
    x = 254,370,601/10,692
  6. Step 6: Final answer
    x = 23,790.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.