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Finding the Third Proportional to 30,727.75 and 41,515.50

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Solution

The third proportional to 30,727.75 and 41,515.50 is: 56,090.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,727.75 : 41,515.50 = 41,515.50 : x
  2. Step 2: Convert to fraction form
    30,727.75/41,515.50 = 41,515.50/x
  3. Step 3: Cross multiply
    30,727.75x = 41,515.50 × 41,515.50
  4. Step 4: Simplify right side
    30,727.75x = 1,723,536,740.25
  5. Step 5: Solve for x
    x = 1,723,536,740.25/30,727.75
  6. Step 6: Final answer
    x = 56,090.56

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.