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Finding the Third Proportional to 43,147.69 and 56,216.53

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Solution

The third proportional to 43,147.69 and 56,216.53 is: 73,243.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,147.69 : 56,216.53 = 56,216.53 : x
  2. Step 2: Convert to fraction form
    43,147.69/56,216.53 = 56,216.53/x
  3. Step 3: Cross multiply
    43,147.69x = 56,216.53 × 56,216.53
  4. Step 4: Simplify right side
    43,147.69x = 3,160,298,385.78
  5. Step 5: Solve for x
    x = 3,160,298,385.78/43,147.69
  6. Step 6: Final answer
    x = 73,243.75

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.