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Finding the Third Proportional to 24,554 and 50,141.50

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Solution

The third proportional to 24,554 and 50,141.50 is: 102,393.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,554 : 50,141.50 = 50,141.50 : x
  2. Step 2: Convert to fraction form
    24,554/50,141.50 = 50,141.50/x
  3. Step 3: Cross multiply
    24,554x = 50,141.50 × 50,141.50
  4. Step 4: Simplify right side
    24,554x = 2,514,170,022.25
  5. Step 5: Solve for x
    x = 2,514,170,022.25/24,554
  6. Step 6: Final answer
    x = 102,393.50

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.