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Finding the Third Proportional to 25,202 and 52,477

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Solution

The third proportional to 25,202 and 52,477 is: 109,270.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,202 : 52,477 = 52,477 : x
  2. Step 2: Convert to fraction form
    25,202/52,477 = 52,477/x
  3. Step 3: Cross multiply
    25,202x = 52,477 × 52,477
  4. Step 4: Simplify right side
    25,202x = 2,753,835,529
  5. Step 5: Solve for x
    x = 2,753,835,529/25,202
  6. Step 6: Final answer
    x = 109,270.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.