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Finding the Third Proportional to 2,040 and 3,897

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Solution

The third proportional to 2,040 and 3,897 is: 7,444.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040 : 3,897 = 3,897 : x
  2. Step 2: Convert to fraction form
    2,040/3,897 = 3,897/x
  3. Step 3: Cross multiply
    2,040x = 3,897 × 3,897
  4. Step 4: Simplify right side
    2,040x = 15,186,609
  5. Step 5: Solve for x
    x = 15,186,609/2,040
  6. Step 6: Final answer
    x = 7,444.42

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.