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Finding the Third Proportional to 26,833.50 and 35,295.75

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Solution

The third proportional to 26,833.50 and 35,295.75 is: 46,426.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,833.50 : 35,295.75 = 35,295.75 : x
  2. Step 2: Convert to fraction form
    26,833.50/35,295.75 = 35,295.75/x
  3. Step 3: Cross multiply
    26,833.50x = 35,295.75 × 35,295.75
  4. Step 4: Simplify right side
    26,833.50x = 1,245,789,968.06
  5. Step 5: Solve for x
    x = 1,245,789,968.06/26,833.50
  6. Step 6: Final answer
    x = 46,426.67

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.