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Finding the Third Proportional to 38,400.75 and 79,536.94

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Solution

The third proportional to 38,400.75 and 79,536.94 is: 164,739.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,400.75 : 79,536.94 = 79,536.94 : x
  2. Step 2: Convert to fraction form
    38,400.75/79,536.94 = 79,536.94/x
  3. Step 3: Cross multiply
    38,400.75x = 79,536.94 × 79,536.94
  4. Step 4: Simplify right side
    38,400.75x = 6,326,124,426.88
  5. Step 5: Solve for x
    x = 6,326,124,426.88/38,400.75
  6. Step 6: Final answer
    x = 164,739.61

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.