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Finding the Third Proportional to 24,832 and 52,352

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Solution

The third proportional to 24,832 and 52,352 is: 110,370.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,832 : 52,352 = 52,352 : x
  2. Step 2: Convert to fraction form
    24,832/52,352 = 52,352/x
  3. Step 3: Cross multiply
    24,832x = 52,352 × 52,352
  4. Step 4: Simplify right side
    24,832x = 2,740,731,904
  5. Step 5: Solve for x
    x = 2,740,731,904/24,832
  6. Step 6: Final answer
    x = 110,370.97

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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.