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Finding the Third Proportional to 26,411 and 57,302

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Solution

The third proportional to 26,411 and 57,302 is: 124,323.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,411 : 57,302 = 57,302 : x
  2. Step 2: Convert to fraction form
    26,411/57,302 = 57,302/x
  3. Step 3: Cross multiply
    26,411x = 57,302 × 57,302
  4. Step 4: Simplify right side
    26,411x = 3,283,519,204
  5. Step 5: Solve for x
    x = 3,283,519,204/26,411
  6. Step 6: Final answer
    x = 124,323.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.