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Finding the Third Proportional to 23,644 and 50,020

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Solution

The third proportional to 23,644 and 50,020 is: 105,819.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,644 : 50,020 = 50,020 : x
  2. Step 2: Convert to fraction form
    23,644/50,020 = 50,020/x
  3. Step 3: Cross multiply
    23,644x = 50,020 × 50,020
  4. Step 4: Simplify right side
    23,644x = 2,502,000,400
  5. Step 5: Solve for x
    x = 2,502,000,400/23,644
  6. Step 6: Final answer
    x = 105,819.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.