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Finding the Third Proportional to 24,786 and 33,039

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Solution

The third proportional to 24,786 and 33,039 is: 44,040.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,786 : 33,039 = 33,039 : x
  2. Step 2: Convert to fraction form
    24,786/33,039 = 33,039/x
  3. Step 3: Cross multiply
    24,786x = 33,039 × 33,039
  4. Step 4: Simplify right side
    24,786x = 1,091,575,521
  5. Step 5: Solve for x
    x = 1,091,575,521/24,786
  6. Step 6: Final answer
    x = 44,040.00

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.