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Finding the Third Proportional to 24,538 and 52,852

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Solution

The third proportional to 24,538 and 52,852 is: 113,837.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,538 : 52,852 = 52,852 : x
  2. Step 2: Convert to fraction form
    24,538/52,852 = 52,852/x
  3. Step 3: Cross multiply
    24,538x = 52,852 × 52,852
  4. Step 4: Simplify right side
    24,538x = 2,793,333,904
  5. Step 5: Solve for x
    x = 2,793,333,904/24,538
  6. Step 6: Final answer
    x = 113,837.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.