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Finding the Third Proportional to 24,782 and 33,621

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Solution

The third proportional to 24,782 and 33,621 is: 45,612.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,782 : 33,621 = 33,621 : x
  2. Step 2: Convert to fraction form
    24,782/33,621 = 33,621/x
  3. Step 3: Cross multiply
    24,782x = 33,621 × 33,621
  4. Step 4: Simplify right side
    24,782x = 1,130,371,641
  5. Step 5: Solve for x
    x = 1,130,371,641/24,782
  6. Step 6: Final answer
    x = 45,612.61

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.