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Finding the Third Proportional to 29,250 and 41,679

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Solution

The third proportional to 29,250 and 41,679 is: 59,389.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,250 : 41,679 = 41,679 : x
  2. Step 2: Convert to fraction form
    29,250/41,679 = 41,679/x
  3. Step 3: Cross multiply
    29,250x = 41,679 × 41,679
  4. Step 4: Simplify right side
    29,250x = 1,737,139,041
  5. Step 5: Solve for x
    x = 1,737,139,041/29,250
  6. Step 6: Final answer
    x = 59,389.37

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.