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Finding the Third Proportional to 23,380.13 and 50,083.13

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Solution

The third proportional to 23,380.13 and 50,083.13 is: 107,284.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,380.13 : 50,083.13 = 50,083.13 : x
  2. Step 2: Convert to fraction form
    23,380.13/50,083.13 = 50,083.13/x
  3. Step 3: Cross multiply
    23,380.13x = 50,083.13 × 50,083.13
  4. Step 4: Simplify right side
    23,380.13x = 2,508,319,409.77
  5. Step 5: Solve for x
    x = 2,508,319,409.77/23,380.13
  6. Step 6: Final answer
    x = 107,284.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.