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Finding the Third Proportional to 33,455.75 and 74,291.50

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Solution

The third proportional to 33,455.75 and 74,291.50 is: 164,970.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,455.75 : 74,291.50 = 74,291.50 : x
  2. Step 2: Convert to fraction form
    33,455.75/74,291.50 = 74,291.50/x
  3. Step 3: Cross multiply
    33,455.75x = 74,291.50 × 74,291.50
  4. Step 4: Simplify right side
    33,455.75x = 5,519,226,972.25
  5. Step 5: Solve for x
    x = 5,519,226,972.25/33,455.75
  6. Step 6: Final answer
    x = 164,970.95

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.