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Finding the Third Proportional to 12,474 and 18,530

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Solution

The third proportional to 12,474 and 18,530 is: 27,526.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,474 : 18,530 = 18,530 : x
  2. Step 2: Convert to fraction form
    12,474/18,530 = 18,530/x
  3. Step 3: Cross multiply
    12,474x = 18,530 × 18,530
  4. Step 4: Simplify right side
    12,474x = 343,360,900
  5. Step 5: Solve for x
    x = 343,360,900/12,474
  6. Step 6: Final answer
    x = 27,526.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.