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Finding the Third Proportional to 24,284 and 32,812

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Solution

The third proportional to 24,284 and 32,812 is: 44,334.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,284 : 32,812 = 32,812 : x
  2. Step 2: Convert to fraction form
    24,284/32,812 = 32,812/x
  3. Step 3: Cross multiply
    24,284x = 32,812 × 32,812
  4. Step 4: Simplify right side
    24,284x = 1,076,627,344
  5. Step 5: Solve for x
    x = 1,076,627,344/24,284
  6. Step 6: Final answer
    x = 44,334.84

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Why These Related Problems?

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