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Finding the Third Proportional to 14,351 and 30,439

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Solution

The third proportional to 14,351 and 30,439 is: 64,562.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,351 : 30,439 = 30,439 : x
  2. Step 2: Convert to fraction form
    14,351/30,439 = 30,439/x
  3. Step 3: Cross multiply
    14,351x = 30,439 × 30,439
  4. Step 4: Simplify right side
    14,351x = 926,532,721
  5. Step 5: Solve for x
    x = 926,532,721/14,351
  6. Step 6: Final answer
    x = 64,562.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.