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Finding the Third Proportional to 47,398 and 71,398

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Solution

The third proportional to 47,398 and 71,398 is: 107,550.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,398 : 71,398 = 71,398 : x
  2. Step 2: Convert to fraction form
    47,398/71,398 = 71,398/x
  3. Step 3: Cross multiply
    47,398x = 71,398 × 71,398
  4. Step 4: Simplify right side
    47,398x = 5,097,674,404
  5. Step 5: Solve for x
    x = 5,097,674,404/47,398
  6. Step 6: Final answer
    x = 107,550.41

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