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Finding the Third Proportional to 12,538 and 27,537

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Solution

The third proportional to 12,538 and 27,537 is: 60,479.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538 : 27,537 = 27,537 : x
  2. Step 2: Convert to fraction form
    12,538/27,537 = 27,537/x
  3. Step 3: Cross multiply
    12,538x = 27,537 × 27,537
  4. Step 4: Simplify right side
    12,538x = 758,286,369
  5. Step 5: Solve for x
    x = 758,286,369/12,538
  6. Step 6: Final answer
    x = 60,479.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.