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Finding the Third Proportional to 24,025 and 52,425

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Solution

The third proportional to 24,025 and 52,425 is: 114,396.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,025 : 52,425 = 52,425 : x
  2. Step 2: Convert to fraction form
    24,025/52,425 = 52,425/x
  3. Step 3: Cross multiply
    24,025x = 52,425 × 52,425
  4. Step 4: Simplify right side
    24,025x = 2,748,380,625
  5. Step 5: Solve for x
    x = 2,748,380,625/24,025
  6. Step 6: Final answer
    x = 114,396.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.