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Finding the Third Proportional to 7,576 and 14,672

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Solution

The third proportional to 7,576 and 14,672 is: 28,414.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,576 : 14,672 = 14,672 : x
  2. Step 2: Convert to fraction form
    7,576/14,672 = 14,672/x
  3. Step 3: Cross multiply
    7,576x = 14,672 × 14,672
  4. Step 4: Simplify right side
    7,576x = 215,267,584
  5. Step 5: Solve for x
    x = 215,267,584/7,576
  6. Step 6: Final answer
    x = 28,414.41

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.