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Finding the Third Proportional to 30,649.50 and 73,165.50

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Solution

The third proportional to 30,649.50 and 73,165.50 is: 174,658.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,649.50 : 73,165.50 = 73,165.50 : x
  2. Step 2: Convert to fraction form
    30,649.50/73,165.50 = 73,165.50/x
  3. Step 3: Cross multiply
    30,649.50x = 73,165.50 × 73,165.50
  4. Step 4: Simplify right side
    30,649.50x = 5,353,190,390.25
  5. Step 5: Solve for x
    x = 5,353,190,390.25/30,649.50
  6. Step 6: Final answer
    x = 174,658.33

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These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.