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Finding the Third Proportional to 23,207 and 50,596

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Solution

The third proportional to 23,207 and 50,596 is: 110,309.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,207 : 50,596 = 50,596 : x
  2. Step 2: Convert to fraction form
    23,207/50,596 = 50,596/x
  3. Step 3: Cross multiply
    23,207x = 50,596 × 50,596
  4. Step 4: Simplify right side
    23,207x = 2,559,955,216
  5. Step 5: Solve for x
    x = 2,559,955,216/23,207
  6. Step 6: Final answer
    x = 110,309.61

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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.