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Finding the Third Proportional to 23,516 and 50,313

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Solution

The third proportional to 23,516 and 50,313 is: 107,645.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,516 : 50,313 = 50,313 : x
  2. Step 2: Convert to fraction form
    23,516/50,313 = 50,313/x
  3. Step 3: Cross multiply
    23,516x = 50,313 × 50,313
  4. Step 4: Simplify right side
    23,516x = 2,531,397,969
  5. Step 5: Solve for x
    x = 2,531,397,969/23,516
  6. Step 6: Final answer
    x = 107,645.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.