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Finding the Third Proportional to 47,124 and 61,937

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Solution

The third proportional to 47,124 and 61,937 is: 81,406.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,124 : 61,937 = 61,937 : x
  2. Step 2: Convert to fraction form
    47,124/61,937 = 61,937/x
  3. Step 3: Cross multiply
    47,124x = 61,937 × 61,937
  4. Step 4: Simplify right side
    47,124x = 3,836,191,969
  5. Step 5: Solve for x
    x = 3,836,191,969/47,124
  6. Step 6: Final answer
    x = 81,406.33

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.