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Finding the Third Proportional to 26,736.50 and 30,624.50

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Solution

The third proportional to 26,736.50 and 30,624.50 is: 35,077.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,736.50 : 30,624.50 = 30,624.50 : x
  2. Step 2: Convert to fraction form
    26,736.50/30,624.50 = 30,624.50/x
  3. Step 3: Cross multiply
    26,736.50x = 30,624.50 × 30,624.50
  4. Step 4: Simplify right side
    26,736.50x = 937,860,000.25
  5. Step 5: Solve for x
    x = 937,860,000.25/26,736.50
  6. Step 6: Final answer
    x = 35,077.89

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.