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Finding the Third Proportional to 23,674 and 51,713

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Solution

The third proportional to 23,674 and 51,713 is: 112,960.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,674 : 51,713 = 51,713 : x
  2. Step 2: Convert to fraction form
    23,674/51,713 = 51,713/x
  3. Step 3: Cross multiply
    23,674x = 51,713 × 51,713
  4. Step 4: Simplify right side
    23,674x = 2,674,234,369
  5. Step 5: Solve for x
    x = 2,674,234,369/23,674
  6. Step 6: Final answer
    x = 112,960.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.