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Finding the Third Proportional to 4,636 and 7,376

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Solution

The third proportional to 4,636 and 7,376 is: 11,735.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,636 : 7,376 = 7,376 : x
  2. Step 2: Convert to fraction form
    4,636/7,376 = 7,376/x
  3. Step 3: Cross multiply
    4,636x = 7,376 × 7,376
  4. Step 4: Simplify right side
    4,636x = 54,405,376
  5. Step 5: Solve for x
    x = 54,405,376/4,636
  6. Step 6: Final answer
    x = 11,735.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.