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Finding the Third Proportional to 32,745.20 and 70,160.55

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Solution

The third proportional to 32,745.20 and 70,160.55 is: 150,327.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,745.20 : 70,160.55 = 70,160.55 : x
  2. Step 2: Convert to fraction form
    32,745.20/70,160.55 = 70,160.55/x
  3. Step 3: Cross multiply
    32,745.20x = 70,160.55 × 70,160.55
  4. Step 4: Simplify right side
    32,745.20x = 4,922,503,434.06
  5. Step 5: Solve for x
    x = 4,922,503,434.06/32,745.20
  6. Step 6: Final answer
    x = 150,327.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.