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Finding the Third Proportional to 11,780 and 24,770

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Solution

The third proportional to 11,780 and 24,770 is: 52,084.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,780 : 24,770 = 24,770 : x
  2. Step 2: Convert to fraction form
    11,780/24,770 = 24,770/x
  3. Step 3: Cross multiply
    11,780x = 24,770 × 24,770
  4. Step 4: Simplify right side
    11,780x = 613,552,900
  5. Step 5: Solve for x
    x = 613,552,900/11,780
  6. Step 6: Final answer
    x = 52,084.29

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.