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Finding the Third Proportional to 25,073 and 52,247

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Solution

The third proportional to 25,073 and 52,247 is: 108,872.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,073 : 52,247 = 52,247 : x
  2. Step 2: Convert to fraction form
    25,073/52,247 = 52,247/x
  3. Step 3: Cross multiply
    25,073x = 52,247 × 52,247
  4. Step 4: Simplify right side
    25,073x = 2,729,749,009
  5. Step 5: Solve for x
    x = 2,729,749,009/25,073
  6. Step 6: Final answer
    x = 108,872.05

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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.