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Finding the Third Proportional to 24,682 and 52,118

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Solution

The third proportional to 24,682 and 52,118 is: 110,051.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,682 : 52,118 = 52,118 : x
  2. Step 2: Convert to fraction form
    24,682/52,118 = 52,118/x
  3. Step 3: Cross multiply
    24,682x = 52,118 × 52,118
  4. Step 4: Simplify right side
    24,682x = 2,716,285,924
  5. Step 5: Solve for x
    x = 2,716,285,924/24,682
  6. Step 6: Final answer
    x = 110,051.29

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.