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Finding the Third Proportional to 11,252 and 24,538

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Solution

The third proportional to 11,252 and 24,538 is: 53,511.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,252 : 24,538 = 24,538 : x
  2. Step 2: Convert to fraction form
    11,252/24,538 = 24,538/x
  3. Step 3: Cross multiply
    11,252x = 24,538 × 24,538
  4. Step 4: Simplify right side
    11,252x = 602,113,444
  5. Step 5: Solve for x
    x = 602,113,444/11,252
  6. Step 6: Final answer
    x = 53,511.68

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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.