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Finding the Third Proportional to 24,278 and 52,456

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Solution

The third proportional to 24,278 and 52,456 is: 113,338.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,278 : 52,456 = 52,456 : x
  2. Step 2: Convert to fraction form
    24,278/52,456 = 52,456/x
  3. Step 3: Cross multiply
    24,278x = 52,456 × 52,456
  4. Step 4: Simplify right side
    24,278x = 2,751,631,936
  5. Step 5: Solve for x
    x = 2,751,631,936/24,278
  6. Step 6: Final answer
    x = 113,338.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.