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Finding the Third Proportional to 3,897 and 4,437

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Solution

The third proportional to 3,897 and 4,437 is: 5,051.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897 : 4,437 = 4,437 : x
  2. Step 2: Convert to fraction form
    3,897/4,437 = 4,437/x
  3. Step 3: Cross multiply
    3,897x = 4,437 × 4,437
  4. Step 4: Simplify right side
    3,897x = 19,686,969
  5. Step 5: Solve for x
    x = 19,686,969/3,897
  6. Step 6: Final answer
    x = 5,051.83

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.