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Finding the Third Proportional to 27,520 and 35,856

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Solution

The third proportional to 27,520 and 35,856 is: 46,717.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,520 : 35,856 = 35,856 : x
  2. Step 2: Convert to fraction form
    27,520/35,856 = 35,856/x
  3. Step 3: Cross multiply
    27,520x = 35,856 × 35,856
  4. Step 4: Simplify right side
    27,520x = 1,285,652,736
  5. Step 5: Solve for x
    x = 1,285,652,736/27,520
  6. Step 6: Final answer
    x = 46,717.03

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.