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Finding the Third Proportional to 26,407 and 54,562

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Solution

The third proportional to 26,407 and 54,562 is: 112,735.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,407 : 54,562 = 54,562 : x
  2. Step 2: Convert to fraction form
    26,407/54,562 = 54,562/x
  3. Step 3: Cross multiply
    26,407x = 54,562 × 54,562
  4. Step 4: Simplify right side
    26,407x = 2,977,011,844
  5. Step 5: Solve for x
    x = 2,977,011,844/26,407
  6. Step 6: Final answer
    x = 112,735.71

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.