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Finding the Third Proportional to 26,641 and 55,833

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Solution

The third proportional to 26,641 and 55,833 is: 117,012.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,641 : 55,833 = 55,833 : x
  2. Step 2: Convert to fraction form
    26,641/55,833 = 55,833/x
  3. Step 3: Cross multiply
    26,641x = 55,833 × 55,833
  4. Step 4: Simplify right side
    26,641x = 3,117,323,889
  5. Step 5: Solve for x
    x = 3,117,323,889/26,641
  6. Step 6: Final answer
    x = 117,012.27

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.