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Finding the Third Proportional to 48,848 and 73,240

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Solution

The third proportional to 48,848 and 73,240 is: 109,812.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,848 : 73,240 = 73,240 : x
  2. Step 2: Convert to fraction form
    48,848/73,240 = 73,240/x
  3. Step 3: Cross multiply
    48,848x = 73,240 × 73,240
  4. Step 4: Simplify right side
    48,848x = 5,364,097,600
  5. Step 5: Solve for x
    x = 5,364,097,600/48,848
  6. Step 6: Final answer
    x = 109,812.02

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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.