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Finding the Third Proportional to 47,410 and 73,427

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Solution

The third proportional to 47,410 and 73,427 is: 113,721.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,410 : 73,427 = 73,427 : x
  2. Step 2: Convert to fraction form
    47,410/73,427 = 73,427/x
  3. Step 3: Cross multiply
    47,410x = 73,427 × 73,427
  4. Step 4: Simplify right side
    47,410x = 5,391,524,329
  5. Step 5: Solve for x
    x = 5,391,524,329/47,410
  6. Step 6: Final answer
    x = 113,721.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.