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Finding the Third Proportional to 33,801.75 and 53,023.50

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Solution

The third proportional to 33,801.75 and 53,023.50 is: 83,175.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,801.75 : 53,023.50 = 53,023.50 : x
  2. Step 2: Convert to fraction form
    33,801.75/53,023.50 = 53,023.50/x
  3. Step 3: Cross multiply
    33,801.75x = 53,023.50 × 53,023.50
  4. Step 4: Simplify right side
    33,801.75x = 2,811,491,552.25
  5. Step 5: Solve for x
    x = 2,811,491,552.25/33,801.75
  6. Step 6: Final answer
    x = 83,175.92

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.