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Finding the Third Proportional to 27,414 and 56,770

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Solution

The third proportional to 27,414 and 56,770 is: 117,561.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,414 : 56,770 = 56,770 : x
  2. Step 2: Convert to fraction form
    27,414/56,770 = 56,770/x
  3. Step 3: Cross multiply
    27,414x = 56,770 × 56,770
  4. Step 4: Simplify right side
    27,414x = 3,222,832,900
  5. Step 5: Solve for x
    x = 3,222,832,900/27,414
  6. Step 6: Final answer
    x = 117,561.57

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.