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Finding the Third Proportional to 12,434 and 19,279

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Solution

The third proportional to 12,434 and 19,279 is: 29,892.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,434 : 19,279 = 19,279 : x
  2. Step 2: Convert to fraction form
    12,434/19,279 = 19,279/x
  3. Step 3: Cross multiply
    12,434x = 19,279 × 19,279
  4. Step 4: Simplify right side
    12,434x = 371,679,841
  5. Step 5: Solve for x
    x = 371,679,841/12,434
  6. Step 6: Final answer
    x = 29,892.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.