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Finding the Third Proportional to 23,546 and 51,745

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Solution

The third proportional to 23,546 and 51,745 is: 113,715.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,546 : 51,745 = 51,745 : x
  2. Step 2: Convert to fraction form
    23,546/51,745 = 51,745/x
  3. Step 3: Cross multiply
    23,546x = 51,745 × 51,745
  4. Step 4: Simplify right side
    23,546x = 2,677,545,025
  5. Step 5: Solve for x
    x = 2,677,545,025/23,546
  6. Step 6: Final answer
    x = 113,715.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.