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Finding the Third Proportional to 47,538 and 61,803

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Solution

The third proportional to 47,538 and 61,803 is: 80,348.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,538 : 61,803 = 61,803 : x
  2. Step 2: Convert to fraction form
    47,538/61,803 = 61,803/x
  3. Step 3: Cross multiply
    47,538x = 61,803 × 61,803
  4. Step 4: Simplify right side
    47,538x = 3,819,610,809
  5. Step 5: Solve for x
    x = 3,819,610,809/47,538
  6. Step 6: Final answer
    x = 80,348.58

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.