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Finding the Third Proportional to 47,664 and 71,244

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Solution

The third proportional to 47,664 and 71,244 is: 106,489.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,664 : 71,244 = 71,244 : x
  2. Step 2: Convert to fraction form
    47,664/71,244 = 71,244/x
  3. Step 3: Cross multiply
    47,664x = 71,244 × 71,244
  4. Step 4: Simplify right side
    47,664x = 5,075,707,536
  5. Step 5: Solve for x
    x = 5,075,707,536/47,664
  6. Step 6: Final answer
    x = 106,489.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.