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Finding the Third Proportional to 27,640 and 59,696

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Solution

The third proportional to 27,640 and 59,696 is: 128,929.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,640 : 59,696 = 59,696 : x
  2. Step 2: Convert to fraction form
    27,640/59,696 = 59,696/x
  3. Step 3: Cross multiply
    27,640x = 59,696 × 59,696
  4. Step 4: Simplify right side
    27,640x = 3,563,612,416
  5. Step 5: Solve for x
    x = 3,563,612,416/27,640
  6. Step 6: Final answer
    x = 128,929.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.