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Finding the Third Proportional to 47,626 and 71,871

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Solution

The third proportional to 47,626 and 71,871 is: 108,458.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,626 : 71,871 = 71,871 : x
  2. Step 2: Convert to fraction form
    47,626/71,871 = 71,871/x
  3. Step 3: Cross multiply
    47,626x = 71,871 × 71,871
  4. Step 4: Simplify right side
    47,626x = 5,165,440,641
  5. Step 5: Solve for x
    x = 5,165,440,641/47,626
  6. Step 6: Final answer
    x = 108,458.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.