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Finding the Third Proportional to 51,538 and 73,503

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Solution

The third proportional to 51,538 and 73,503 is: 104,829.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,538 : 73,503 = 73,503 : x
  2. Step 2: Convert to fraction form
    51,538/73,503 = 73,503/x
  3. Step 3: Cross multiply
    51,538x = 73,503 × 73,503
  4. Step 4: Simplify right side
    51,538x = 5,402,691,009
  5. Step 5: Solve for x
    x = 5,402,691,009/51,538
  6. Step 6: Final answer
    x = 104,829.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.