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Finding the Third Proportional to 4,977.38 and 10,832.63

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Solution

The third proportional to 4,977.38 and 10,832.63 is: 23,575.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.38 : 10,832.63 = 10,832.63 : x
  2. Step 2: Convert to fraction form
    4,977.38/10,832.63 = 10,832.63/x
  3. Step 3: Cross multiply
    4,977.38x = 10,832.63 × 10,832.63
  4. Step 4: Simplify right side
    4,977.38x = 117,345,764.39
  5. Step 5: Solve for x
    x = 117,345,764.39/4,977.38
  6. Step 6: Final answer
    x = 23,575.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.