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Finding the Third Proportional to 27,468 and 31,356

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Solution

The third proportional to 27,468 and 31,356 is: 35,794.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,468 : 31,356 = 31,356 : x
  2. Step 2: Convert to fraction form
    27,468/31,356 = 31,356/x
  3. Step 3: Cross multiply
    27,468x = 31,356 × 31,356
  4. Step 4: Simplify right side
    27,468x = 983,198,736
  5. Step 5: Solve for x
    x = 983,198,736/27,468
  6. Step 6: Final answer
    x = 35,794.33

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.