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Finding the Third Proportional to 47,848 and 74,504

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Solution

The third proportional to 47,848 and 74,504 is: 116,009.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,848 : 74,504 = 74,504 : x
  2. Step 2: Convert to fraction form
    47,848/74,504 = 74,504/x
  3. Step 3: Cross multiply
    47,848x = 74,504 × 74,504
  4. Step 4: Simplify right side
    47,848x = 5,550,846,016
  5. Step 5: Solve for x
    x = 5,550,846,016/47,848
  6. Step 6: Final answer
    x = 116,009.99

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.