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Finding the Third Proportional to 33,253.50 and 73,888.50

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Solution

The third proportional to 33,253.50 and 73,888.50 is: 164,178.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,253.50 : 73,888.50 = 73,888.50 : x
  2. Step 2: Convert to fraction form
    33,253.50/73,888.50 = 73,888.50/x
  3. Step 3: Cross multiply
    33,253.50x = 73,888.50 × 73,888.50
  4. Step 4: Simplify right side
    33,253.50x = 5,459,510,432.25
  5. Step 5: Solve for x
    x = 5,459,510,432.25/33,253.50
  6. Step 6: Final answer
    x = 164,178.52

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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.