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Finding the Third Proportional to 23,072.25 and 50,146.50

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Solution

The third proportional to 23,072.25 and 50,146.50 is: 108,991.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,072.25 : 50,146.50 = 50,146.50 : x
  2. Step 2: Convert to fraction form
    23,072.25/50,146.50 = 50,146.50/x
  3. Step 3: Cross multiply
    23,072.25x = 50,146.50 × 50,146.50
  4. Step 4: Simplify right side
    23,072.25x = 2,514,671,462.25
  5. Step 5: Solve for x
    x = 2,514,671,462.25/23,072.25
  6. Step 6: Final answer
    x = 108,991.17

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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.