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Finding the Third Proportional to 24,820 and 51,644

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Solution

The third proportional to 24,820 and 51,644 is: 107,457.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,820 : 51,644 = 51,644 : x
  2. Step 2: Convert to fraction form
    24,820/51,644 = 51,644/x
  3. Step 3: Cross multiply
    24,820x = 51,644 × 51,644
  4. Step 4: Simplify right side
    24,820x = 2,667,102,736
  5. Step 5: Solve for x
    x = 2,667,102,736/24,820
  6. Step 6: Final answer
    x = 107,457.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.