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Finding the Third Proportional to 8,432.25 and 18,255

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Solution

The third proportional to 8,432.25 and 18,255 is: 39,520.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,432.25 : 18,255 = 18,255 : x
  2. Step 2: Convert to fraction form
    8,432.25/18,255 = 18,255/x
  3. Step 3: Cross multiply
    8,432.25x = 18,255 × 18,255
  4. Step 4: Simplify right side
    8,432.25x = 333,245,025
  5. Step 5: Solve for x
    x = 333,245,025/8,432.25
  6. Step 6: Final answer
    x = 39,520.30

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.