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Finding the Third Proportional to 40,686 and 73,594.50

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Solution

The third proportional to 40,686 and 73,594.50 is: 133,120.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,686 : 73,594.50 = 73,594.50 : x
  2. Step 2: Convert to fraction form
    40,686/73,594.50 = 73,594.50/x
  3. Step 3: Cross multiply
    40,686x = 73,594.50 × 73,594.50
  4. Step 4: Simplify right side
    40,686x = 5,416,150,430.25
  5. Step 5: Solve for x
    x = 5,416,150,430.25/40,686
  6. Step 6: Final answer
    x = 133,120.74

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.