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Finding the Third Proportional to 24,306.75 and 50,301

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Solution

The third proportional to 24,306.75 and 50,301 is: 104,094.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,306.75 : 50,301 = 50,301 : x
  2. Step 2: Convert to fraction form
    24,306.75/50,301 = 50,301/x
  3. Step 3: Cross multiply
    24,306.75x = 50,301 × 50,301
  4. Step 4: Simplify right side
    24,306.75x = 2,530,190,601
  5. Step 5: Solve for x
    x = 2,530,190,601/24,306.75
  6. Step 6: Final answer
    x = 104,094.15

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.