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Finding the Third Proportional to 23,254 and 50,448

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Solution

The third proportional to 23,254 and 50,448 is: 109,443.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,254 : 50,448 = 50,448 : x
  2. Step 2: Convert to fraction form
    23,254/50,448 = 50,448/x
  3. Step 3: Cross multiply
    23,254x = 50,448 × 50,448
  4. Step 4: Simplify right side
    23,254x = 2,545,000,704
  5. Step 5: Solve for x
    x = 2,545,000,704/23,254
  6. Step 6: Final answer
    x = 109,443.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.