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Finding the Third Proportional to 12,275 and 25,276

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Solution

The third proportional to 12,275 and 25,276 is: 52,046.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,275 : 25,276 = 25,276 : x
  2. Step 2: Convert to fraction form
    12,275/25,276 = 25,276/x
  3. Step 3: Cross multiply
    12,275x = 25,276 × 25,276
  4. Step 4: Simplify right side
    12,275x = 638,876,176
  5. Step 5: Solve for x
    x = 638,876,176/12,275
  6. Step 6: Final answer
    x = 52,046.94

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.