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Finding the Third Proportional to 7,638 and 10,897

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Solution

The third proportional to 7,638 and 10,897 is: 15,546.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638 : 10,897 = 10,897 : x
  2. Step 2: Convert to fraction form
    7,638/10,897 = 10,897/x
  3. Step 3: Cross multiply
    7,638x = 10,897 × 10,897
  4. Step 4: Simplify right side
    7,638x = 118,744,609
  5. Step 5: Solve for x
    x = 118,744,609/7,638
  6. Step 6: Final answer
    x = 15,546.56

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.