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Finding the Third Proportional to 23,429 and 36,593

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Solution

The third proportional to 23,429 and 36,593 is: 57,153.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,429 : 36,593 = 36,593 : x
  2. Step 2: Convert to fraction form
    23,429/36,593 = 36,593/x
  3. Step 3: Cross multiply
    23,429x = 36,593 × 36,593
  4. Step 4: Simplify right side
    23,429x = 1,339,047,649
  5. Step 5: Solve for x
    x = 1,339,047,649/23,429
  6. Step 6: Final answer
    x = 57,153.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.