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Finding the Third Proportional to 35,968.25 and 73,364.50

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Solution

The third proportional to 35,968.25 and 73,364.50 is: 149,641.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,968.25 : 73,364.50 = 73,364.50 : x
  2. Step 2: Convert to fraction form
    35,968.25/73,364.50 = 73,364.50/x
  3. Step 3: Cross multiply
    35,968.25x = 73,364.50 × 73,364.50
  4. Step 4: Simplify right side
    35,968.25x = 5,382,349,860.25
  5. Step 5: Solve for x
    x = 5,382,349,860.25/35,968.25
  6. Step 6: Final answer
    x = 149,641.69

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.