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Finding the Third Proportional to 2,092 and 4,614

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Solution

The third proportional to 2,092 and 4,614 is: 10,176.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092 : 4,614 = 4,614 : x
  2. Step 2: Convert to fraction form
    2,092/4,614 = 4,614/x
  3. Step 3: Cross multiply
    2,092x = 4,614 × 4,614
  4. Step 4: Simplify right side
    2,092x = 21,288,996
  5. Step 5: Solve for x
    x = 21,288,996/2,092
  6. Step 6: Final answer
    x = 10,176.38

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.