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Finding the Third Proportional to 23,451.19 and 35,378.44

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Solution

The third proportional to 23,451.19 and 35,378.44 is: 53,371.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,451.19 : 35,378.44 = 35,378.44 : x
  2. Step 2: Convert to fraction form
    23,451.19/35,378.44 = 35,378.44/x
  3. Step 3: Cross multiply
    23,451.19x = 35,378.44 × 35,378.44
  4. Step 4: Simplify right side
    23,451.19x = 1,251,633,839.94
  5. Step 5: Solve for x
    x = 1,251,633,839.94/23,451.19
  6. Step 6: Final answer
    x = 53,371.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.