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Finding the Third Proportional to 14,564 and 34,234

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Solution

The third proportional to 14,564 and 34,234 is: 80,470.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,564 : 34,234 = 34,234 : x
  2. Step 2: Convert to fraction form
    14,564/34,234 = 34,234/x
  3. Step 3: Cross multiply
    14,564x = 34,234 × 34,234
  4. Step 4: Simplify right side
    14,564x = 1,171,966,756
  5. Step 5: Solve for x
    x = 1,171,966,756/14,564
  6. Step 6: Final answer
    x = 80,470.12

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.