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Finding the Third Proportional to 25,814 and 36,147

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Solution

The third proportional to 25,814 and 36,147 is: 50,616.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,814 : 36,147 = 36,147 : x
  2. Step 2: Convert to fraction form
    25,814/36,147 = 36,147/x
  3. Step 3: Cross multiply
    25,814x = 36,147 × 36,147
  4. Step 4: Simplify right side
    25,814x = 1,306,605,609
  5. Step 5: Solve for x
    x = 1,306,605,609/25,814
  6. Step 6: Final answer
    x = 50,616.16

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.