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Finding the Third Proportional to 47,124 and 61,938

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Solution

The third proportional to 47,124 and 61,938 is: 81,408.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,124 : 61,938 = 61,938 : x
  2. Step 2: Convert to fraction form
    47,124/61,938 = 61,938/x
  3. Step 3: Cross multiply
    47,124x = 61,938 × 61,938
  4. Step 4: Simplify right side
    47,124x = 3,836,315,844
  5. Step 5: Solve for x
    x = 3,836,315,844/47,124
  6. Step 6: Final answer
    x = 81,408.96

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