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Finding the Third Proportional to 47,576 and 71,229

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Solution

The third proportional to 47,576 and 71,229 is: 106,641.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,576 : 71,229 = 71,229 : x
  2. Step 2: Convert to fraction form
    47,576/71,229 = 71,229/x
  3. Step 3: Cross multiply
    47,576x = 71,229 × 71,229
  4. Step 4: Simplify right side
    47,576x = 5,073,570,441
  5. Step 5: Solve for x
    x = 5,073,570,441/47,576
  6. Step 6: Final answer
    x = 106,641.38

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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.