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Finding the Third Proportional to 32,023.69 and 68,785.88

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Solution

The third proportional to 32,023.69 and 68,785.88 is: 147,749.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,023.69 : 68,785.88 = 68,785.88 : x
  2. Step 2: Convert to fraction form
    32,023.69/68,785.88 = 68,785.88/x
  3. Step 3: Cross multiply
    32,023.69x = 68,785.88 × 68,785.88
  4. Step 4: Simplify right side
    32,023.69x = 4,731,496,599.52
  5. Step 5: Solve for x
    x = 4,731,496,599.52/32,023.69
  6. Step 6: Final answer
    x = 147,749.90

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.