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Finding the Third Proportional to 29,817 and 40,351

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Solution

The third proportional to 29,817 and 40,351 is: 54,606.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,817 : 40,351 = 40,351 : x
  2. Step 2: Convert to fraction form
    29,817/40,351 = 40,351/x
  3. Step 3: Cross multiply
    29,817x = 40,351 × 40,351
  4. Step 4: Simplify right side
    29,817x = 1,628,203,201
  5. Step 5: Solve for x
    x = 1,628,203,201/29,817
  6. Step 6: Final answer
    x = 54,606.54

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.