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Finding the Third Proportional to 14,423 and 34,908

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Solution

The third proportional to 14,423 and 34,908 is: 84,487.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,423 : 34,908 = 34,908 : x
  2. Step 2: Convert to fraction form
    14,423/34,908 = 34,908/x
  3. Step 3: Cross multiply
    14,423x = 34,908 × 34,908
  4. Step 4: Simplify right side
    14,423x = 1,218,568,464
  5. Step 5: Solve for x
    x = 1,218,568,464/14,423
  6. Step 6: Final answer
    x = 84,487.86

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.