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Finding the Third Proportional to 30,595.50 and 43,086.38

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Solution

The third proportional to 30,595.50 and 43,086.38 is: 60,676.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,595.50 : 43,086.38 = 43,086.38 : x
  2. Step 2: Convert to fraction form
    30,595.50/43,086.38 = 43,086.38/x
  3. Step 3: Cross multiply
    30,595.50x = 43,086.38 × 43,086.38
  4. Step 4: Simplify right side
    30,595.50x = 1,856,435,710.64
  5. Step 5: Solve for x
    x = 1,856,435,710.64/30,595.50
  6. Step 6: Final answer
    x = 60,676.76

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.