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Finding the Third Proportional to 14,838 and 34,503

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Solution

The third proportional to 14,838 and 34,503 is: 80,230.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,838 : 34,503 = 34,503 : x
  2. Step 2: Convert to fraction form
    14,838/34,503 = 34,503/x
  3. Step 3: Cross multiply
    14,838x = 34,503 × 34,503
  4. Step 4: Simplify right side
    14,838x = 1,190,457,009
  5. Step 5: Solve for x
    x = 1,190,457,009/14,838
  6. Step 6: Final answer
    x = 80,230.29

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.