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Finding the Third Proportional to 7,642 and 16,760

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Solution

The third proportional to 7,642 and 16,760 is: 36,757.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642 : 16,760 = 16,760 : x
  2. Step 2: Convert to fraction form
    7,642/16,760 = 16,760/x
  3. Step 3: Cross multiply
    7,642x = 16,760 × 16,760
  4. Step 4: Simplify right side
    7,642x = 280,897,600
  5. Step 5: Solve for x
    x = 280,897,600/7,642
  6. Step 6: Final answer
    x = 36,757.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.