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Finding the Third Proportional to 33,968.25 and 74,110.50

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Solution

The third proportional to 33,968.25 and 74,110.50 is: 161,691.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,968.25 : 74,110.50 = 74,110.50 : x
  2. Step 2: Convert to fraction form
    33,968.25/74,110.50 = 74,110.50/x
  3. Step 3: Cross multiply
    33,968.25x = 74,110.50 × 74,110.50
  4. Step 4: Simplify right side
    33,968.25x = 5,492,366,210.25
  5. Step 5: Solve for x
    x = 5,492,366,210.25/33,968.25
  6. Step 6: Final answer
    x = 161,691.17

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.