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Finding the Third Proportional to 24,102 and 36,025

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Solution

The third proportional to 24,102 and 36,025 is: 53,846.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,102 : 36,025 = 36,025 : x
  2. Step 2: Convert to fraction form
    24,102/36,025 = 36,025/x
  3. Step 3: Cross multiply
    24,102x = 36,025 × 36,025
  4. Step 4: Simplify right side
    24,102x = 1,297,800,625
  5. Step 5: Solve for x
    x = 1,297,800,625/24,102
  6. Step 6: Final answer
    x = 53,846.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.