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Finding the Third Proportional to 40,648.50 and 53,947.50

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Solution

The third proportional to 40,648.50 and 53,947.50 is: 71,597.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,648.50 : 53,947.50 = 53,947.50 : x
  2. Step 2: Convert to fraction form
    40,648.50/53,947.50 = 53,947.50/x
  3. Step 3: Cross multiply
    40,648.50x = 53,947.50 × 53,947.50
  4. Step 4: Simplify right side
    40,648.50x = 2,910,332,756.25
  5. Step 5: Solve for x
    x = 2,910,332,756.25/40,648.50
  6. Step 6: Final answer
    x = 71,597.54

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.