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Finding the Third Proportional to 24,781.50 and 35,325

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Solution

The third proportional to 24,781.50 and 35,325 is: 50,354.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,781.50 : 35,325 = 35,325 : x
  2. Step 2: Convert to fraction form
    24,781.50/35,325 = 35,325/x
  3. Step 3: Cross multiply
    24,781.50x = 35,325 × 35,325
  4. Step 4: Simplify right side
    24,781.50x = 1,247,855,625
  5. Step 5: Solve for x
    x = 1,247,855,625/24,781.50
  6. Step 6: Final answer
    x = 50,354.32

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.