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Finding the Third Proportional to 47,476 and 71,084

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Solution

The third proportional to 47,476 and 71,084 is: 106,431.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,476 : 71,084 = 71,084 : x
  2. Step 2: Convert to fraction form
    47,476/71,084 = 71,084/x
  3. Step 3: Cross multiply
    47,476x = 71,084 × 71,084
  4. Step 4: Simplify right side
    47,476x = 5,052,935,056
  5. Step 5: Solve for x
    x = 5,052,935,056/47,476
  6. Step 6: Final answer
    x = 106,431.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.