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Finding the Third Proportional to 12,433 and 19,208

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Solution

The third proportional to 12,433 and 19,208 is: 29,674.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,433 : 19,208 = 19,208 : x
  2. Step 2: Convert to fraction form
    12,433/19,208 = 19,208/x
  3. Step 3: Cross multiply
    12,433x = 19,208 × 19,208
  4. Step 4: Simplify right side
    12,433x = 368,947,264
  5. Step 5: Solve for x
    x = 368,947,264/12,433
  6. Step 6: Final answer
    x = 29,674.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.