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Finding the Third Proportional to 27,276 and 36,656

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Solution

The third proportional to 27,276 and 36,656 is: 49,261.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,276 : 36,656 = 36,656 : x
  2. Step 2: Convert to fraction form
    27,276/36,656 = 36,656/x
  3. Step 3: Cross multiply
    27,276x = 36,656 × 36,656
  4. Step 4: Simplify right side
    27,276x = 1,343,662,336
  5. Step 5: Solve for x
    x = 1,343,662,336/27,276
  6. Step 6: Final answer
    x = 49,261.71

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.