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Finding the Third Proportional to 23,477 and 50,370

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Solution

The third proportional to 23,477 and 50,370 is: 108,069.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,477 : 50,370 = 50,370 : x
  2. Step 2: Convert to fraction form
    23,477/50,370 = 50,370/x
  3. Step 3: Cross multiply
    23,477x = 50,370 × 50,370
  4. Step 4: Simplify right side
    23,477x = 2,537,136,900
  5. Step 5: Solve for x
    x = 2,537,136,900/23,477
  6. Step 6: Final answer
    x = 108,069.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.