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Finding the Third Proportional to 12,340 and 18,434

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Solution

The third proportional to 12,340 and 18,434 is: 27,537.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,340 : 18,434 = 18,434 : x
  2. Step 2: Convert to fraction form
    12,340/18,434 = 18,434/x
  3. Step 3: Cross multiply
    12,340x = 18,434 × 18,434
  4. Step 4: Simplify right side
    12,340x = 339,812,356
  5. Step 5: Solve for x
    x = 339,812,356/12,340
  6. Step 6: Final answer
    x = 27,537.47

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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.