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Finding the Third Proportional to 35,965.69 and 53,947.69

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Solution

The third proportional to 35,965.69 and 53,947.69 is: 80,920.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,965.69 : 53,947.69 = 53,947.69 : x
  2. Step 2: Convert to fraction form
    35,965.69/53,947.69 = 53,947.69/x
  3. Step 3: Cross multiply
    35,965.69x = 53,947.69 × 53,947.69
  4. Step 4: Simplify right side
    35,965.69x = 2,910,352,986.60
  5. Step 5: Solve for x
    x = 2,910,352,986.60/35,965.69
  6. Step 6: Final answer
    x = 80,920.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.