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Finding the Third Proportional to 24,821 and 51,646

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Solution

The third proportional to 24,821 and 51,646 is: 107,461.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,821 : 51,646 = 51,646 : x
  2. Step 2: Convert to fraction form
    24,821/51,646 = 51,646/x
  3. Step 3: Cross multiply
    24,821x = 51,646 × 51,646
  4. Step 4: Simplify right side
    24,821x = 2,667,309,316
  5. Step 5: Solve for x
    x = 2,667,309,316/24,821
  6. Step 6: Final answer
    x = 107,461.80

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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.