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Finding the Third Proportional to 23,712 and 34,593

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Solution

The third proportional to 23,712 and 34,593 is: 50,467.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,712 : 34,593 = 34,593 : x
  2. Step 2: Convert to fraction form
    23,712/34,593 = 34,593/x
  3. Step 3: Cross multiply
    23,712x = 34,593 × 34,593
  4. Step 4: Simplify right side
    23,712x = 1,196,675,649
  5. Step 5: Solve for x
    x = 1,196,675,649/23,712
  6. Step 6: Final answer
    x = 50,467.09

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.