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Finding the Third Proportional to 10,734 and 24,651

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Solution

The third proportional to 10,734 and 24,651 is: 56,611.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,734 : 24,651 = 24,651 : x
  2. Step 2: Convert to fraction form
    10,734/24,651 = 24,651/x
  3. Step 3: Cross multiply
    10,734x = 24,651 × 24,651
  4. Step 4: Simplify right side
    10,734x = 607,671,801
  5. Step 5: Solve for x
    x = 607,671,801/10,734
  6. Step 6: Final answer
    x = 56,611.87

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.