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Finding the Third Proportional to 32,455.69 and 43,633.69

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Solution

The third proportional to 32,455.69 and 43,633.69 is: 58,661.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,455.69 : 43,633.69 = 43,633.69 : x
  2. Step 2: Convert to fraction form
    32,455.69/43,633.69 = 43,633.69/x
  3. Step 3: Cross multiply
    32,455.69x = 43,633.69 × 43,633.69
  4. Step 4: Simplify right side
    32,455.69x = 1,903,898,684.85
  5. Step 5: Solve for x
    x = 1,903,898,684.85/32,455.69
  6. Step 6: Final answer
    x = 58,661.48

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.