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Finding the Third Proportional to 23,703.19 and 50,924.25

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Solution

The third proportional to 23,703.19 and 50,924.25 is: 109,406.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,703.19 : 50,924.25 = 50,924.25 : x
  2. Step 2: Convert to fraction form
    23,703.19/50,924.25 = 50,924.25/x
  3. Step 3: Cross multiply
    23,703.19x = 50,924.25 × 50,924.25
  4. Step 4: Simplify right side
    23,703.19x = 2,593,279,238.06
  5. Step 5: Solve for x
    x = 2,593,279,238.06/23,703.19
  6. Step 6: Final answer
    x = 109,406.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.