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Finding the Third Proportional to 5,897 and 12,270

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Solution

The third proportional to 5,897 and 12,270 is: 25,530.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897 : 12,270 = 12,270 : x
  2. Step 2: Convert to fraction form
    5,897/12,270 = 12,270/x
  3. Step 3: Cross multiply
    5,897x = 12,270 × 12,270
  4. Step 4: Simplify right side
    5,897x = 150,552,900
  5. Step 5: Solve for x
    x = 150,552,900/5,897
  6. Step 6: Final answer
    x = 25,530.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.