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Finding the Third Proportional to 36,173.75 and 56,576

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Solution

The third proportional to 36,173.75 and 56,576 is: 88,485.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,173.75 : 56,576 = 56,576 : x
  2. Step 2: Convert to fraction form
    36,173.75/56,576 = 56,576/x
  3. Step 3: Cross multiply
    36,173.75x = 56,576 × 56,576
  4. Step 4: Simplify right side
    36,173.75x = 3,200,843,776
  5. Step 5: Solve for x
    x = 3,200,843,776/36,173.75
  6. Step 6: Final answer
    x = 88,485.26

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.