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Finding the Third Proportional to 5,601 and 11,292

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Solution

The third proportional to 5,601 and 11,292 is: 22,765.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,601 : 11,292 = 11,292 : x
  2. Step 2: Convert to fraction form
    5,601/11,292 = 11,292/x
  3. Step 3: Cross multiply
    5,601x = 11,292 × 11,292
  4. Step 4: Simplify right side
    5,601x = 127,509,264
  5. Step 5: Solve for x
    x = 127,509,264/5,601
  6. Step 6: Final answer
    x = 22,765.45

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.