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Finding the Third Proportional to 26,505 and 37,150.50

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Solution

The third proportional to 26,505 and 37,150.50 is: 52,071.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,505 : 37,150.50 = 37,150.50 : x
  2. Step 2: Convert to fraction form
    26,505/37,150.50 = 37,150.50/x
  3. Step 3: Cross multiply
    26,505x = 37,150.50 × 37,150.50
  4. Step 4: Simplify right side
    26,505x = 1,380,159,650.25
  5. Step 5: Solve for x
    x = 1,380,159,650.25/26,505
  6. Step 6: Final answer
    x = 52,071.67

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.