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Finding the Third Proportional to 12,577 and 18,897

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Solution

The third proportional to 12,577 and 18,897 is: 28,392.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,577 : 18,897 = 18,897 : x
  2. Step 2: Convert to fraction form
    12,577/18,897 = 18,897/x
  3. Step 3: Cross multiply
    12,577x = 18,897 × 18,897
  4. Step 4: Simplify right side
    12,577x = 357,096,609
  5. Step 5: Solve for x
    x = 357,096,609/12,577
  6. Step 6: Final answer
    x = 28,392.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.