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Finding the Third Proportional to 25,237 and 52,544

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Solution

The third proportional to 25,237 and 52,544 is: 109,397.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,237 : 52,544 = 52,544 : x
  2. Step 2: Convert to fraction form
    25,237/52,544 = 52,544/x
  3. Step 3: Cross multiply
    25,237x = 52,544 × 52,544
  4. Step 4: Simplify right side
    25,237x = 2,760,871,936
  5. Step 5: Solve for x
    x = 2,760,871,936/25,237
  6. Step 6: Final answer
    x = 109,397.79

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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.