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Finding the Third Proportional to 32,745.75 and 71,487.75

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Solution

The third proportional to 32,745.75 and 71,487.75 is: 156,066.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,745.75 : 71,487.75 = 71,487.75 : x
  2. Step 2: Convert to fraction form
    32,745.75/71,487.75 = 71,487.75/x
  3. Step 3: Cross multiply
    32,745.75x = 71,487.75 × 71,487.75
  4. Step 4: Simplify right side
    32,745.75x = 5,110,498,400.06
  5. Step 5: Solve for x
    x = 5,110,498,400.06/32,745.75
  6. Step 6: Final answer
    x = 156,066.01

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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.