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Finding the Third Proportional to 33,758.25 and 53,385.75

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Solution

The third proportional to 33,758.25 and 53,385.75 is: 84,424.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,758.25 : 53,385.75 = 53,385.75 : x
  2. Step 2: Convert to fraction form
    33,758.25/53,385.75 = 53,385.75/x
  3. Step 3: Cross multiply
    33,758.25x = 53,385.75 × 53,385.75
  4. Step 4: Simplify right side
    33,758.25x = 2,850,038,303.06
  5. Step 5: Solve for x
    x = 2,850,038,303.06/33,758.25
  6. Step 6: Final answer
    x = 84,424.94

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.