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Finding the Third Proportional to 12,276 and 25,496

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Solution

The third proportional to 12,276 and 25,496 is: 52,952.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,276 : 25,496 = 25,496 : x
  2. Step 2: Convert to fraction form
    12,276/25,496 = 25,496/x
  3. Step 3: Cross multiply
    12,276x = 25,496 × 25,496
  4. Step 4: Simplify right side
    12,276x = 650,046,016
  5. Step 5: Solve for x
    x = 650,046,016/12,276
  6. Step 6: Final answer
    x = 52,952.59

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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.