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Finding the Third Proportional to 23,588 and 34,941

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Solution

The third proportional to 23,588 and 34,941 is: 51,758.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,588 : 34,941 = 34,941 : x
  2. Step 2: Convert to fraction form
    23,588/34,941 = 34,941/x
  3. Step 3: Cross multiply
    23,588x = 34,941 × 34,941
  4. Step 4: Simplify right side
    23,588x = 1,220,873,481
  5. Step 5: Solve for x
    x = 1,220,873,481/23,588
  6. Step 6: Final answer
    x = 51,758.24

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.