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Finding the Third Proportional to 27,319 and 55,641

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Solution

The third proportional to 27,319 and 55,641 is: 113,324.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,319 : 55,641 = 55,641 : x
  2. Step 2: Convert to fraction form
    27,319/55,641 = 55,641/x
  3. Step 3: Cross multiply
    27,319x = 55,641 × 55,641
  4. Step 4: Simplify right side
    27,319x = 3,095,920,881
  5. Step 5: Solve for x
    x = 3,095,920,881/27,319
  6. Step 6: Final answer
    x = 113,324.82

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.