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Finding the Third Proportional to 28,727.25 and 40,180.75

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Solution

The third proportional to 28,727.25 and 40,180.75 is: 56,200.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,727.25 : 40,180.75 = 40,180.75 : x
  2. Step 2: Convert to fraction form
    28,727.25/40,180.75 = 40,180.75/x
  3. Step 3: Cross multiply
    28,727.25x = 40,180.75 × 40,180.75
  4. Step 4: Simplify right side
    28,727.25x = 1,614,492,670.56
  5. Step 5: Solve for x
    x = 1,614,492,670.56/28,727.25
  6. Step 6: Final answer
    x = 56,200.74

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.