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Finding the Third Proportional to 26,953 and 58,406

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Solution

The third proportional to 26,953 and 58,406 is: 126,563.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,953 : 58,406 = 58,406 : x
  2. Step 2: Convert to fraction form
    26,953/58,406 = 58,406/x
  3. Step 3: Cross multiply
    26,953x = 58,406 × 58,406
  4. Step 4: Simplify right side
    26,953x = 3,411,260,836
  5. Step 5: Solve for x
    x = 3,411,260,836/26,953
  6. Step 6: Final answer
    x = 126,563.31

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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.