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Finding the Third Proportional to 47,241 and 70,740

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Solution

The third proportional to 47,241 and 70,740 is: 105,928.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,241 : 70,740 = 70,740 : x
  2. Step 2: Convert to fraction form
    47,241/70,740 = 70,740/x
  3. Step 3: Cross multiply
    47,241x = 70,740 × 70,740
  4. Step 4: Simplify right side
    47,241x = 5,004,147,600
  5. Step 5: Solve for x
    x = 5,004,147,600/47,241
  6. Step 6: Final answer
    x = 105,928.06

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