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Finding the Third Proportional to 23,778 and 50,207.63

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Solution

The third proportional to 23,778 and 50,207.63 is: 106,014.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,778 : 50,207.63 = 50,207.63 : x
  2. Step 2: Convert to fraction form
    23,778/50,207.63 = 50,207.63/x
  3. Step 3: Cross multiply
    23,778x = 50,207.63 × 50,207.63
  4. Step 4: Simplify right side
    23,778x = 2,520,805,608.14
  5. Step 5: Solve for x
    x = 2,520,805,608.14/23,778
  6. Step 6: Final answer
    x = 106,014.20

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.