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Finding the Third Proportional to 24,330 and 51,799

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Solution

The third proportional to 24,330 and 51,799 is: 110,280.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,330 : 51,799 = 51,799 : x
  2. Step 2: Convert to fraction form
    24,330/51,799 = 51,799/x
  3. Step 3: Cross multiply
    24,330x = 51,799 × 51,799
  4. Step 4: Simplify right side
    24,330x = 2,683,136,401
  5. Step 5: Solve for x
    x = 2,683,136,401/24,330
  6. Step 6: Final answer
    x = 110,280.99

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.