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Finding the Third Proportional to 23,572 and 50,834

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Solution

The third proportional to 23,572 and 50,834 is: 109,625.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,572 : 50,834 = 50,834 : x
  2. Step 2: Convert to fraction form
    23,572/50,834 = 50,834/x
  3. Step 3: Cross multiply
    23,572x = 50,834 × 50,834
  4. Step 4: Simplify right side
    23,572x = 2,584,095,556
  5. Step 5: Solve for x
    x = 2,584,095,556/23,572
  6. Step 6: Final answer
    x = 109,625.64

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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.