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Finding the Third Proportional to 36,419.63 and 79,458.75

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Solution

The third proportional to 36,419.63 and 79,458.75 is: 173,359.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,419.63 : 79,458.75 = 79,458.75 : x
  2. Step 2: Convert to fraction form
    36,419.63/79,458.75 = 79,458.75/x
  3. Step 3: Cross multiply
    36,419.63x = 79,458.75 × 79,458.75
  4. Step 4: Simplify right side
    36,419.63x = 6,313,692,951.56
  5. Step 5: Solve for x
    x = 6,313,692,951.56/36,419.63
  6. Step 6: Final answer
    x = 173,359.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.