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Finding the Third Proportional to 29,596 and 41,627

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Solution

The third proportional to 29,596 and 41,627 is: 58,548.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,596 : 41,627 = 41,627 : x
  2. Step 2: Convert to fraction form
    29,596/41,627 = 41,627/x
  3. Step 3: Cross multiply
    29,596x = 41,627 × 41,627
  4. Step 4: Simplify right side
    29,596x = 1,732,807,129
  5. Step 5: Solve for x
    x = 1,732,807,129/29,596
  6. Step 6: Final answer
    x = 58,548.69

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.