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Finding the Third Proportional to 26,086.50 and 42,000.75

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Solution

The third proportional to 26,086.50 and 42,000.75 is: 67,623.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,086.50 : 42,000.75 = 42,000.75 : x
  2. Step 2: Convert to fraction form
    26,086.50/42,000.75 = 42,000.75/x
  3. Step 3: Cross multiply
    26,086.50x = 42,000.75 × 42,000.75
  4. Step 4: Simplify right side
    26,086.50x = 1,764,063,000.56
  5. Step 5: Solve for x
    x = 1,764,063,000.56/26,086.50
  6. Step 6: Final answer
    x = 67,623.60

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.