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Finding the Third Proportional to 25,274 and 54,364

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Solution

The third proportional to 25,274 and 54,364 is: 116,936.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,274 : 54,364 = 54,364 : x
  2. Step 2: Convert to fraction form
    25,274/54,364 = 54,364/x
  3. Step 3: Cross multiply
    25,274x = 54,364 × 54,364
  4. Step 4: Simplify right side
    25,274x = 2,955,444,496
  5. Step 5: Solve for x
    x = 2,955,444,496/25,274
  6. Step 6: Final answer
    x = 116,936.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.