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Finding the Third Proportional to 24,786 and 32,805

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Solution

The third proportional to 24,786 and 32,805 is: 43,418.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,786 : 32,805 = 32,805 : x
  2. Step 2: Convert to fraction form
    24,786/32,805 = 32,805/x
  3. Step 3: Cross multiply
    24,786x = 32,805 × 32,805
  4. Step 4: Simplify right side
    24,786x = 1,076,168,025
  5. Step 5: Solve for x
    x = 1,076,168,025/24,786
  6. Step 6: Final answer
    x = 43,418.38

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.