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Finding the Third Proportional to 24,600 and 52,701

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Solution

The third proportional to 24,600 and 52,701 is: 112,902.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,600 : 52,701 = 52,701 : x
  2. Step 2: Convert to fraction form
    24,600/52,701 = 52,701/x
  3. Step 3: Cross multiply
    24,600x = 52,701 × 52,701
  4. Step 4: Simplify right side
    24,600x = 2,777,395,401
  5. Step 5: Solve for x
    x = 2,777,395,401/24,600
  6. Step 6: Final answer
    x = 112,902.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.