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Finding the Third Proportional to 40,358.25 and 55,400.63

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Solution

The third proportional to 40,358.25 and 55,400.63 is: 76,049.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,358.25 : 55,400.63 = 55,400.63 : x
  2. Step 2: Convert to fraction form
    40,358.25/55,400.63 = 55,400.63/x
  3. Step 3: Cross multiply
    40,358.25x = 55,400.63 × 55,400.63
  4. Step 4: Simplify right side
    40,358.25x = 3,069,229,250.39
  5. Step 5: Solve for x
    x = 3,069,229,250.39/40,358.25
  6. Step 6: Final answer
    x = 76,049.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.