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Finding the Third Proportional to 49,650 and 73,503

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Solution

The third proportional to 49,650 and 73,503 is: 108,815.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,650 : 73,503 = 73,503 : x
  2. Step 2: Convert to fraction form
    49,650/73,503 = 73,503/x
  3. Step 3: Cross multiply
    49,650x = 73,503 × 73,503
  4. Step 4: Simplify right side
    49,650x = 5,402,691,009
  5. Step 5: Solve for x
    x = 5,402,691,009/49,650
  6. Step 6: Final answer
    x = 108,815.53

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.