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Finding the Third Proportional to 35,173.50 and 71,649.50

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Solution

The third proportional to 35,173.50 and 71,649.50 is: 145,952.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,173.50 : 71,649.50 = 71,649.50 : x
  2. Step 2: Convert to fraction form
    35,173.50/71,649.50 = 71,649.50/x
  3. Step 3: Cross multiply
    35,173.50x = 71,649.50 × 71,649.50
  4. Step 4: Simplify right side
    35,173.50x = 5,133,650,850.25
  5. Step 5: Solve for x
    x = 5,133,650,850.25/35,173.50
  6. Step 6: Final answer
    x = 145,952.23

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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.