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Finding the Third Proportional to 33,516 and 46,848

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Solution

The third proportional to 33,516 and 46,848 is: 65,483.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,516 : 46,848 = 46,848 : x
  2. Step 2: Convert to fraction form
    33,516/46,848 = 46,848/x
  3. Step 3: Cross multiply
    33,516x = 46,848 × 46,848
  4. Step 4: Simplify right side
    33,516x = 2,194,735,104
  5. Step 5: Solve for x
    x = 2,194,735,104/33,516
  6. Step 6: Final answer
    x = 65,483.21

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.