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Finding the Third Proportional to 5,780 and 12,247

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Solution

The third proportional to 5,780 and 12,247 is: 25,949.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780 : 12,247 = 12,247 : x
  2. Step 2: Convert to fraction form
    5,780/12,247 = 12,247/x
  3. Step 3: Cross multiply
    5,780x = 12,247 × 12,247
  4. Step 4: Simplify right side
    5,780x = 149,989,009
  5. Step 5: Solve for x
    x = 149,989,009/5,780
  6. Step 6: Final answer
    x = 25,949.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.