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Finding the Third Proportional to 25,086 and 27,294

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Solution

The third proportional to 25,086 and 27,294 is: 29,696.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,086 : 27,294 = 27,294 : x
  2. Step 2: Convert to fraction form
    25,086/27,294 = 27,294/x
  3. Step 3: Cross multiply
    25,086x = 27,294 × 27,294
  4. Step 4: Simplify right side
    25,086x = 744,962,436
  5. Step 5: Solve for x
    x = 744,962,436/25,086
  6. Step 6: Final answer
    x = 29,696.34

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.