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Finding the Third Proportional to 48,928 and 73,488

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Solution

The third proportional to 48,928 and 73,488 is: 110,376.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,928 : 73,488 = 73,488 : x
  2. Step 2: Convert to fraction form
    48,928/73,488 = 73,488/x
  3. Step 3: Cross multiply
    48,928x = 73,488 × 73,488
  4. Step 4: Simplify right side
    48,928x = 5,400,486,144
  5. Step 5: Solve for x
    x = 5,400,486,144/48,928
  6. Step 6: Final answer
    x = 110,376.19

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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.